76772087361216 has 896 divisors, whose sum is σ = 262517597798400. Its totient is φ = 21806835240960.

The previous prime is 76772087361187. The next prime is 76772087361251. The reversal of 76772087361216 is 61216378027767.

76772087361216 is a `hidden beast` number, since 7 + 6 + 7 + 7 + 2 + 0 + 8 + 7 + 3 + 612 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6070373005 + ... + 6070385651.

It is an arithmetic number, because the mean of its divisors is an integer number (292988390400).

Almost surely, 2^{76772087361216} 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 76772087361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131258798899200).

76772087361216 is an abundant number, since it is smaller than the sum of its proper divisors (185745510437184).

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

76772087361216 is a wasteful number, since it uses less digits than its factorization.

76772087361216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13114 (or 13098 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 76772087361216 in words is "seventy-six trillion, seven hundred seventy-two billion, eighty-seven million, three hundred sixty-one thousand, two hundred sixteen".