77937242625 has 192 divisors, whose sum is σ = 160617600000. Its totient is φ = 36009792000.

The previous prime is 77937242623. The next prime is 77937242633. The reversal of 77937242625 is 52624273977.

It is a happy number.

77937242625 is a `hidden beast` number, since 7 + 7 + 9 + 3 + 7 + 2 + 4 + 2 + 625 = 666.

It is not a de Polignac number, because 77937242625 - 2¹ = 77937242623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77937242623) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28349751 + ... + 28352499.

It is an arithmetic number, because the mean of its divisors is an integer number (836550000).

Almost surely, 2^77937242625 is an apocalyptic number.

77937242625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77937242625 is an abundant number, since it is smaller than the sum of its proper divisors (82680357375).

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

77937242625 is a wasteful number, since it uses less digits than its factorization.

77937242625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2876 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 77937242625 in words is "seventy-seven billion, nine hundred thirty-seven million, two hundred forty-two thousand, six hundred twenty-five".