87799616100 has 729 divisors, whose sum is σ = 344219906667. Its totient is φ = 18660418560.

The previous prime is 87799616059. The next prime is 87799616119. The reversal of 87799616100 is 161699778.

The square root of 87799616100 is 296310.

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

87799616100 is a `hidden beast` number, since 8 + 7 + 7 + 9 + 9 + 616 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2053721124 + 85745894976 = 45318^2 + 292824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1057826659 + ... + 1057826741.

Almost surely, 2^87799616100 is an apocalyptic number.

87799616100 is the 296310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87799616100

87799616100 is an abundant number, since it is smaller than the sum of its proper divisors (256420290567).

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

87799616100 is a wasteful number, since it uses less digits than its factorization.

87799616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 87799616100 in words is "eighty-seven billion, seven hundred ninety-nine million, six hundred sixteen thousand, one hundred".