76404 has 12 divisors (see below), whose sum is σ = 178304. Its totient is φ = 25464.

The previous prime is 76403. The next prime is 76421. The reversal of 76404 is 40467.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3172 + ... + 3195.

2⁷⁶⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

76404 is an abundant number, since it is smaller than the sum of its proper divisors (101900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89152).

76404 is a wasteful number, since it uses less digits than its factorization.

76404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 76404 is about 276.4127348731. The cubic root of 76404 is about 42.4331590617.

Subtracting from 76404 its reverse (40467), we obtain a cube (35937 = 33³).

The spelling of 76404 in words is "seventy-six thousand, four hundred four".