77117715072 has 48 divisors (see below), whose sum is σ = 221914261530. Its totient is φ = 25705904640.

The previous prime is 77117715067. The next prime is 77117715097. The reversal of 77117715072 is 27051771177.

77117715072 is a `hidden beast` number, since 7 + 71 + 1 + 7 + 71 + 507 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76826534976 + 291180096 = 277176^2 + 17064^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33470079 + ... + 33472382.

Almost surely, 2^77117715072 is an apocalyptic number.

77117715072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77117715072 is an abundant number, since it is smaller than the sum of its proper divisors (144796546458).

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

77117715072 is a wasteful number, since it uses less digits than its factorization.

77117715072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66942481 (or 66942466 counting only the distinct ones).

The product of its (nonzero) digits is 168070, while the sum is 45.

The spelling of 77117715072 in words is "seventy-seven billion, one hundred seventeen million, seven hundred fifteen thousand, seventy-two".