76257717904 has 135 divisors (see below), whose sum is σ = 163425438633. Its totient is φ = 34463270400.

The previous prime is 76257717901. The next prime is 76257717937. The reversal of 76257717904 is 40971775267.

The square root of 76257717904 is 276148.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59370195600 + 16887522304 = 243660^2 + 129952^2 .

It is not an unprimeable number, because it can be changed into a prime (76257717901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 582119919 + ... + 582120049.

Almost surely, 2^76257717904 is an apocalyptic number.

76257717904 is the 276148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76257717904

76257717904 is an abundant number, since it is smaller than the sum of its proper divisors (87167720729).

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

76257717904 is a wasteful number, since it uses less digits than its factorization.

76257717904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 55.

The spelling of 76257717904 in words is "seventy-six billion, two hundred fifty-seven million, seven hundred seventeen thousand, nine hundred four".