77516226748900 has 81 divisors (see below), whose sum is σ = 168740137061769. Its totient is φ = 30909114809760.

The previous prime is 77516226748879. The next prime is 77516226748957. The reversal of 77516226748900 is 984762261577.

The square root of 77516226748900 is 8804330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27905841629604 + 49610385119296 = 5282598^2 + 7043464^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32311889901 + ... + 32311892299.

Almost surely, 2^{77516226748900} is an apocalyptic number.

77516226748900 is the 8804330-th square number.

It is an amenable number.

77516226748900 is an abundant number, since it is smaller than the sum of its proper divisors (91223910312869).

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

77516226748900 is an frugal number, since it uses more digits than its factorization.

77516226748900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 64.

The spelling of 77516226748900 in words is "seventy-seven trillion, five hundred sixteen billion, two hundred twenty-six million, seven hundred forty-eight thousand, nine hundred".