75804 has 12 divisors (see below), whose sum is σ = 176904. Its totient is φ = 25264.

The previous prime is 75797. The next prime is 75821. The reversal of 75804 is 40857.

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

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3147 + ... + 3170.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2⁷⁵⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

75804 is an abundant number, since it is smaller than the sum of its proper divisors (101100).

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 (88452).

75804 is a wasteful number, since it uses less digits than its factorization.

75804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 75804 is about 275.3252621900. The cubic root of 75804 is about 42.3217912747.

The spelling of 75804 in words is "seventy-five thousand, eight hundred four".