76493730625 has 135 divisors (see below), whose sum is σ = 111204241533. Its totient is φ = 52571376000.

The previous prime is 76493730623. The next prime is 76493730701. The reversal of 76493730625 is 52603739467.

The square root of 76493730625 is 276575.

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 72873542401 + 3620188224 = 269951^2 + 60168^2 .

It is not a de Polignac number, because 76493730625 - 2¹ = 76493730623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76493730623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2067398107 + ... + 2067398143.

Almost surely, 2^76493730625 is an apocalyptic number.

76493730625 is the 276575-th square number.

76493730625 is the 138288-th centered octagonal number.

It is an amenable number.

76493730625 is a deficient number, since it is larger than the sum of its proper divisors (34710510908).

76493730625 is an equidigital number, since it uses as much as digits as its factorization.

76493730625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 52.

The spelling of 76493730625 in words is "seventy-six billion, four hundred ninety-three million, seven hundred thirty thousand, six hundred twenty-five".