76904 has 8 divisors (see below), whose sum is σ = 144210. Its totient is φ = 38448.

The previous prime is 76883. The next prime is 76907. The reversal of 76904 is 40967.

It can be written as a sum of positive squares in only one way, i.e., 40804 + 36100 = 202^2 + 190^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (76907) 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, 4799 + ... + 4814.

2⁷⁶⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

76904 is a deficient number, since it is larger than the sum of its proper divisors (67306).

76904 is a wasteful number, since it uses less digits than its factorization.

76904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9619 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 76904 is about 277.3157045679. The cubic root of 76904 is about 42.5255210039.

Subtracting from 76904 its reverse (40967), we obtain a cube (35937 = 33³).

The spelling of 76904 in words is "seventy-six thousand, nine hundred four".