76964 has 12 divisors (see below), whose sum is σ = 137088. Its totient is φ = 37800.

The previous prime is 76963. The next prime is 76991. The reversal of 76964 is 46967.

It is a self number, because there is not a number n which added to its sum of digits gives 76964.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2⁷⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

76964 is a deficient number, since it is larger than the sum of its proper divisors (60124).

76964 is a wasteful number, since it uses less digits than its factorization.

76964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 344 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 76964 is about 277.4238634292. The cubic root of 76964 is about 42.5365775072.

The spelling of 76964 in words is "seventy-six thousand, nine hundred sixty-four".