76104 has 48 divisors (see below), whose sum is σ = 237120. Its totient is φ = 21600.

The previous prime is 76103. The next prime is 76123. The reversal of 76104 is 40167.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (76103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (4940).

2⁷⁶¹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118560).

76104 is an abundant number, since it is smaller than the sum of its proper divisors (161016).

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

76104 is a wasteful number, since it uses less digits than its factorization.

76104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 76104 is about 275.8695343817. The cubic root of 76104 is about 42.3775483366.

Subtracting from 76104 its reverse (40167), we obtain a cube (35937 = 33³).

The spelling of 76104 in words is "seventy-six thousand, one hundred four".