76853700625 has 45 divisors (see below), whose sum is σ = 104114117349. Its totient is φ = 56686968000.

The previous prime is 76853700601. The next prime is 76853700631. The reversal of 76853700625 is 52600735867.

The square root of 76853700625 is 277225.

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

It can be written as a sum of positive squares in 22 ways, for example, as 9220416529 + 67633284096 = 96023^2 + 260064^2 .

It is a de Polignac number, because none of the positive numbers 2^k-76853700625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90097699 + ... + 90098551.

Almost surely, 2^76853700625 is an apocalyptic number.

76853700625 is the 277225-th square number.

76853700625 is the 138613-rd centered octagonal number.

It is an amenable number.

76853700625 is a deficient number, since it is larger than the sum of its proper divisors (27260416724).

76853700625 is an frugal number, since it uses more digits than its factorization.

76853700625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Multiplying 76853700625 by its sum of digits (49), we get a square (3765831330625 = 1940575²).

The spelling of 76853700625 in words is "seventy-six billion, eight hundred fifty-three million, seven hundred thousand, six hundred twenty-five".