77600557216 has 96 divisors (see below), whose sum is σ = 188105621760. Its totient is φ = 30687123456.

The previous prime is 77600557193. The next prime is 77600557247. The reversal of 77600557216 is 61275500677.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13156380 + ... + 13162276.

It is an arithmetic number, because the mean of its divisors is an integer number (1959433560).

Almost surely, 2^77600557216 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 77600557216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94052810880).

77600557216 is an abundant number, since it is smaller than the sum of its proper divisors (110505064544).

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

77600557216 is a wasteful number, since it uses less digits than its factorization.

77600557216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10446 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 46.

The spelling of 77600557216 in words is "seventy-seven billion, six hundred million, five hundred fifty-seven thousand, two hundred sixteen".