77693248625 has 32 divisors (see below), whose sum is σ = 97520211360. Its totient is φ = 61797120000.

The previous prime is 77693248579. The next prime is 77693248663. The reversal of 77693248625 is 52684239677.

It can be written as a sum of positive squares in 16 ways, for example, as 49664796736 + 28028451889 = 222856^2 + 167417^2 .

It is not a de Polignac number, because 77693248625 - 2¹² = 77693244529 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22923431 + ... + 22926819.

It is an arithmetic number, because the mean of its divisors is an integer number (3047506605).

Almost surely, 2^77693248625 is an apocalyptic number.

It is an amenable number.

77693248625 is a deficient number, since it is larger than the sum of its proper divisors (19826962735).

77693248625 is a wasteful number, since it uses less digits than its factorization.

77693248625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4396 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 59.

The spelling of 77693248625 in words is "seventy-seven billion, six hundred ninety-three million, two hundred forty-eight thousand, six hundred twenty-five".