76757904 has 60 divisors (see below), whose sum is σ = 220071852. Its totient is φ = 24960000.

The previous prime is 76757903. The next prime is 76757921. The reversal of 76757904 is 40975767.

76757904 is a `hidden beast` number, since 76 + 7 + 579 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 74649600 = 1452^2 + 8640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76757904.

It is not an unprimeable number, because it can be changed into a prime (76757903) 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, 597 + ... + 12404.

Almost surely, 2^76757904 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 76757904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110035926).

76757904 is an abundant number, since it is smaller than the sum of its proper divisors (143313948).

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

76757904 is a wasteful number, since it uses less digits than its factorization.

76757904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13056 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 76757904 is about 8761.1588274611. The cubic root of 76757904 is about 424.9857508487.

The spelling of 76757904 in words is "seventy-six million, seven hundred fifty-seven thousand, nine hundred four".