760
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1800
- Proper Divisor Sum (Aliquot Sum)
- 1040
- 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
- 288
- Möbius Function
- 0
- Radical
- 190
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 108
- 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
- siebenhundertsechzig· ordinal: siebenhundertsechzigste
- English
- seven hundred sixty· ordinal: seven hundred sixtieth
- Spanish
- setecientos sesenta· ordinal: 760º
- French
- sept cent soixante· ordinal: sept cent soixantième
- Italian
- settecentosessanta· ordinal: 760º
- Latin
- septingenti sexaginta· ordinal: 760.
- Portuguese
- setecentos e sessenta· ordinal: 760º
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=37A000009
- Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers).at n=60A000926
- Number of fixed polyominoes with n cells.at n=7A001168
- Number of board-pair-pile polyominoes with n cells.at n=6A001170
- Number of partitions of n into parts 2, 3, 4, 5, 6, 7.at n=41A001996
- a(n) = Sum_{t=0..n} g(t)*g(n-t) where g(t) = A002121(t).at n=28A002122
- a(n) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n.at n=10A002219
- Number of polygonal graphs.at n=24A002560
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=38A002644
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=42A003113
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=18A003451
- Discriminants of the known imaginary quadratic fields with 1 class per genus (a finite sequence).at n=49A003644
- Degrees of irreducible representations of Harada-Norton group HN.at n=3A003915
- Expansion of (1 + x - x^5) / (1 - x)^3.at n=34A004120
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-19).at n=2A004420
- a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.at n=10A004924
- a(n) = round(n*phi^9), where phi is the golden ratio, A001622.at n=10A004944
- Sequence and first differences (A030124) together list all positive numbers exactly once.at n=34A005228
- Centered triangular numbers: a(n) = 3*n*(n-1)/2 + 1.at n=22A005448
- A finite sequence associated with the Lie algebra E_8.at n=61A005555