77556847160 has 256 divisors, whose sum is σ = 208790265600. Its totient is φ = 25649971200.

The previous prime is 77556847133. The next prime is 77556847201. The reversal of 77556847160 is 6174865577.

It is a junction number, because it is equal to n+sod(n) for n = 77556847096 and 77556847105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18199430 + ... + 18203690.

It is an arithmetic number, because the mean of its divisors is an integer number (815586975).

Almost surely, 2^77556847160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77556847160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104395132800).

77556847160 is an abundant number, since it is smaller than the sum of its proper divisors (131233418440).

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

77556847160 is a wasteful number, since it uses less digits than its factorization.

77556847160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 56.

The spelling of 77556847160 in words is "seventy-seven billion, five hundred fifty-six million, eight hundred forty-seven thousand, one hundred sixty".