76304 has 20 divisors (see below), whose sum is σ = 156240. Its totient is φ = 36000.

The previous prime is 76303. The next prime is 76333. The reversal of 76304 is 40367.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁷⁶³⁰⁴ 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 76304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

76304 is an abundant number, since it is smaller than the sum of its proper divisors (79936).

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

76304 is a wasteful number, since it uses less digits than its factorization.

76304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 76304 is about 276.2317867299. The cubic root of 76304 is about 42.4146383537.

Subtracting from 76304 its reverse (40367), we obtain a cube (35937 = 33³).

It can be divided in two parts, 76 and 304, that multiplied together give a square (23104 = 152²).

The spelling of 76304 in words is "seventy-six thousand, three hundred four".