76005204 has 48 divisors (see below), whose sum is σ = 197600256. Its totient is φ = 22540000.

The previous prime is 76005197. The next prime is 76005217. The reversal of 76005204 is 40250067.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79 + ... + 12329.

It is an arithmetic number, because the mean of its divisors is an integer number (4116672).

Almost surely, 2^76005204 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 76005204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98800128).

76005204 is an abundant number, since it is smaller than the sum of its proper divisors (121595052).

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

76005204 is a wasteful number, since it uses less digits than its factorization.

76005204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12316 (or 12314 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 76005204 is about 8718.0963518420. The cubic root of 76005204 is about 423.5920262864.

Subtracting from 76005204 its product of nonzero digits (1680), we obtain a square (76003524 = 8718²).

The spelling of 76005204 in words is "seventy-six million, five thousand, two hundred four".