880
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 2232
- Proper Divisor Sum (Aliquot Sum)
- 1352
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 320
- Möbius Function
- 0
- Radical
- 110
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 116
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- achthundertachtzig· ordinal: achthundertachtzigste
- English
- eight hundred eighty· ordinal: eight hundred eightieth
- Spanish
- ochocientos ochenta· ordinal: 880º
- French
- huit cent quatre-vingts· ordinal: huit cent quatre-vingtsième
- Italian
- ottocentoottanta· ordinal: 880º
- Latin
- octingenti octoginta· ordinal: 880.
- Portuguese
- oitocentos e oitenta· ordinal: 880º
Appears in sequences
- Numbers in which every digit contains at least one loop (version 1).at n=40A001743
- Prime numbers of measurement.at n=28A002049
- Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=10A002413
- a(n) = n*phi(n).at n=43A002618
- Sorting numbers (see Motzkin article for details).at n=5A002875
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=19A003451
- High temperature series for spin-1/2 Ising surface susceptibility on 3-dimensional simple cubic lattice.at n=3A003490
- Triangle read by rows: the Bell transform of the triple factorial numbers A008544 without column 0.at n=10A004747
- Number of ways in which n identical balls can be distributed among 4 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=10A005337
- States of a dynamic storage system.at n=10A005595
- Coefficient of x^4 in expansion of (1+x+x^2)^n.at n=9A005712
- Weighted count of partitions with distinct parts.at n=20A005895
- Number of magic squares of order n composed of the numbers from 1 to n^2, counted up to rotations and reflections.at n=3A006052
- If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12.at n=22A006584
- Let S denote the palindromes in the language {0,1,2,3}*; a(n) = number of words of length n in the language SS.at n=6A007057
- Triple factorial numbers a(n) = n!!!, defined by a(n) = n*a(n-3), a(0) = a(1) = 1, a(2) = 2. Sometimes written n!3.at n=11A007661
- a(n) is the number of permutations w of 1,2,...,n such that both w and w^{-1} are alternating.at n=10A007999
- Coordination sequence T1 for Zeolite Code BOG.at n=21A008049
- Coordination sequence T2 for Zeolite Code LEV.at n=22A008128
- Coordination sequence T2 for Zeolite Code MEL.at n=19A008151