76564 has 6 divisors (see below), whose sum is σ = 133994. Its totient is φ = 38280.

The previous prime is 76561. The next prime is 76579. The reversal of 76564 is 46567.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 10000 = 258^2 + 100^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76561) 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 as a sum of consecutive naturals, namely, 9567 + ... + 9574.

2⁷⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

76564 is a deficient number, since it is larger than the sum of its proper divisors (57430).

76564 is a wasteful number, since it uses less digits than its factorization.

76564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19145 (or 19143 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 76564 is about 276.7020057752. The cubic root of 76564 is about 42.4627586102.

The spelling of 76564 in words is "seventy-six thousand, five hundred sixty-four".