877
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 878
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 876
- Möbius Function
- -1
- Radical
- 877
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- yes
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 151
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- achthundertsiebenundsiebzig· ordinal: achthundertsiebenundsiebzigste
- English
- eight hundred seventy-seven· ordinal: eight hundred seventy-seventh
- Spanish
- ochocientos setenta y siete· ordinal: 877º
- French
- huit cent soixante-dix-sept· ordinal: huit cent soixante-dix-septième
- Italian
- ottocentosettantasette· ordinal: 877º
- Latin
- octingenti septuaginta septem· ordinal: 877.
- Portuguese
- oitocentos e setenta e sete· ordinal: 877º
Appears in sequences
- Bell or exponential numbers: number of ways to partition a set of n labeled elements.at n=7A000110
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=38A000921
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=58A000928
- Numbers k such that phi(2k+1) < phi(2k).at n=9A001837
- The coding-theoretic function A(n,4,4).at n=25A001843
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=46A001914
- From a Goldbach conjecture: records in A185091.at n=18A002092
- a(2*n) = floor( 17*2^n/14 ), a(2*n+1) = floor( 12*2^n/7 ).at n=19A003143
- Primes p such that 2p-1 is also prime.at n=31A005382
- Primes p such that (p+1)/2 is prime.at n=19A005383
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=12A005471
- Odd numbers not of form p + 2^k (de Polignac numbers).at n=12A006285
- Prime-indexed primes: primes with prime subscripts.at n=35A006450
- Oscillates under partition transform.at n=35A007212
- Primes of the form 8k + 5.at n=40A007521
- Prime triples: p; p+2 or p+4; p+6 all prime.at n=28A007529
- Number of set-like atomic species of degree n.at n=28A007650
- Triangle a(n,k) of number of M-sequences read by antidiagonals.at n=51A007723
- The number of distinct principal ideals in the semigroup of binary relations on an n-set.at n=4A007903
- Coordination sequence T6 for Zeolite Code NES.at n=19A008210