87760507536 has 315 divisors, whose sum is σ = 277370947737. Its totient is φ = 26875255680.

The previous prime is 87760507529. The next prime is 87760507573. The reversal of 87760507536 is 63570506778.

The square root of 87760507536 is 296244.

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

87760507536 is a `hidden beast` number, since 8 + 77 + 60 + 507 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12982323600 + 74778183936 = 113940^2 + 273456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 415926471 + ... + 415926681.

Almost surely, 2^87760507536 is an apocalyptic number.

87760507536 is the 296244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87760507536

87760507536 is an abundant number, since it is smaller than the sum of its proper divisors (189610440201).

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

87760507536 is an equidigital number, since it uses as much as digits as its factorization.

87760507536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 87760507536 in words is "eighty-seven billion, seven hundred sixty million, five hundred seven thousand, five hundred thirty-six".