75992904 has 192 divisors, whose sum is σ = 239715840. Its totient is φ = 22394880.

The previous prime is 75992893. The next prime is 75992929. The reversal of 75992904 is 40929957.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75992904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783384 + ... + 783480.

It is an arithmetic number, because the mean of its divisors is an integer number (1248520).

Almost surely, 2^75992904 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 75992904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119857920).

75992904 is an abundant number, since it is smaller than the sum of its proper divisors (163722936).

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

75992904 is a wasteful number, since it uses less digits than its factorization.

75992904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 75992904 is about 8717.3908940692. The cubic root of 75992904 is about 423.5691749432.

The spelling of 75992904 in words is "seventy-five million, nine hundred ninety-two thousand, nine hundred four".