76965 has 16 divisors (see below), whose sum is σ = 140928. Its totient is φ = 35136.

The previous prime is 76963. The next prime is 76991. The reversal of 76965 is 56967.

It is not a de Polignac number, because 76965 - 2¹ = 76963 is a prime.

It is a super-2 number, since 2×76965² = 11847222450, which contains 22 as substring.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (8808).

2⁷⁶⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

76965 is a deficient number, since it is larger than the sum of its proper divisors (63963).

76965 is a wasteful number, since it uses less digits than its factorization.

76965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748.

The product of its digits is 11340, while the sum is 33.

The square root of 76965 is about 277.4256657197. The cubic root of 76965 is about 42.5367617335.

The spelling of 76965 in words is "seventy-six thousand, nine hundred sixty-five".