87792504804 has 243 divisors, whose sum is σ = 242221364931. Its totient is φ = 27840160080.

The previous prime is 87792504799. The next prime is 87792504817. The reversal of 87792504804 is 40840529778.

It is a happy number.

The square root of 87792504804 is 296298.

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

87792504804 is a `hidden beast` number, since 8 + 77 + 92 + 5 + 0 + 480 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

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 80 ways as a sum of consecutive naturals, for example, 1488008527 + ... + 1488008585.

Almost surely, 2^87792504804 is an apocalyptic number.

87792504804 is the 296298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87792504804

87792504804 is an abundant number, since it is smaller than the sum of its proper divisors (154428860127).

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

87792504804 is an frugal number, since it uses more digits than its factorization.

87792504804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 87792504804 in words is "eighty-seven billion, seven hundred ninety-two million, five hundred four thousand, eight hundred four".