770
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1728
- Proper Divisor Sum (Aliquot Sum)
- 958
- 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
- 240
- Möbius Function
- 1
- Radical
- 770
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 33
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- siebenhundertsiebzig· ordinal: siebenhundertsiebzigste
- English
- seven hundred seventy· ordinal: seven hundred seventieth
- Spanish
- setecientos setenta· ordinal: 770º
- French
- sept cent soixante-dix· ordinal: sept cent soixante-dixième
- Italian
- settecentosettanta· ordinal: 770º
- Latin
- septingenti septuaginta· ordinal: 770.
- Portuguese
- setecentos e setenta· ordinal: 770º
Appears in sequences
- Partitions into non-integral powers (see Comments for precise definition).at n=9A000234
- Number of positive integers <= 2^n of form 2 x^2 + 5 y^2.at n=12A000286
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=31A001182
- Numbers k such that (k^2 + k + 1)/13 is prime.at n=35A002642
- Beginnings of periodic unitary aliquot sequences.at n=65A003062
- Numbers that are the sum of 5 positive 4th powers.at n=51A003339
- Numbers that are the sum of 8 positive 7th powers.at n=6A003375
- Numbers that are the sum of 5 nonzero 8th powers.at n=3A003383
- Degrees of irreducible representations of Mathieu group M_23.at n=10A003858
- Degrees of irreducible representations of Mathieu group M_23.at n=9A003858
- Degrees of irreducible representations of Mathieu group M_24.at n=9A003859
- Degrees of irreducible representations of Mathieu group M_24.at n=10A003859
- Degrees of irreducible representations of Higman-Sims group HS.at n=11A003908
- Degrees of irreducible representations of Higman-Sims group HS.at n=10A003908
- Degrees of irreducible representations of Higman-Sims group HS.at n=9A003908
- Degrees of irreducible representations of McLaughlin group McL.at n=5A003909
- Degrees of irreducible representations of McLaughlin group McL.at n=4A003909
- Triangle read by rows: the Bell transform of the triple factorial numbers A008544 without column 0.at n=25A004747
- Numbers that are the sum of at most 8 positive 7th powers.at n=41A004870
- Numbers that are the sum of at most 9 positive 7th powers.at n=47A004871