800
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 1953
- Proper Divisor Sum (Aliquot Sum)
- 1153
- 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
- 10
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 2
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
- 28
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- achthundert· ordinal: achthundertste
- English
- eight hundred· ordinal: eight hundredth
- Spanish
- ochocientos· ordinal: 800º
- French
- huit cents· ordinal: huit centsième
- Italian
- ottocento· ordinal: 800º
- Latin
- octingenti· ordinal: 800.
- Portuguese
- oitocentos· ordinal: 800º
Appears in sequences
- Number of ways of writing n as a sum of 5 squares.at n=14A000132
- a(n) = floor(n^2/3).at n=49A000212
- Numbers beginning with letter 'e' in English.at n=13A000873
- a(n) = ceiling(n^2/2).at n=40A000982
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=32A001082
- Numbers k such that k / (sum of digits of k) is a square.at n=35A001102
- a(n) = 2*n^2.at n=20A001105
- Number of strong starters in cyclic group of order 2n+1.at n=8A001443
- Powerful numbers, definition (1): if a prime p divides n then p^2 must also divide n (also called squareful, square full, square-full or 2-powerful numbers).at n=46A001694
- Numbers in which every digit contains at least one loop (version 1).at n=32A001743
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=32A001859
- Number of divisors of n-th highly composite number.at n=56A002183
- Bisection of A002470.at n=17A002286
- Glaisher's function W(n).at n=35A002470
- Number of Hamiltonian rooted triangulations with n internal nodes and 4 external nodes.at n=3A003123
- Coefficients of modular function g_3(tau).at n=4A003297
- Numbers that are the sum of 5 positive 4th powers.at n=54A003339
- Numbers that are the sum of 12 positive 5th powers.at n=37A003357
- Numbers that are the sum of 9 positive 6th powers.at n=11A003365
- Numbers of the form 2^i*5^j with i, j >= 0.at n=27A003592