87076332360900 has 1701 divisors, whose sum is σ = 320618339262039. Its totient is φ = 20510720363520.

The previous prime is 87076332360739. The next prime is 87076332360907. The reversal of 87076332360900 is 906323367078.

The square root of 87076332360900 is 9331470.

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

87076332360900 is a `hidden beast` number, since 8 + 7 + 0 + 7 + 6 + 3 + 3 + 23 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2036802791556 + 85039529569344 = 1427166^2 + 9221688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (87076332360907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 813797498647 + ... + 813797498753.

Almost surely, 2^{87076332360900} is an apocalyptic number.

87076332360900 is the 9331470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87076332360900

87076332360900 is an abundant number, since it is smaller than the sum of its proper divisors (233542006901139).

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

87076332360900 is a wasteful number, since it uses less digits than its factorization.

87076332360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 87076332360900 in words is "eighty-seven trillion, seventy-six billion, three hundred thirty-two million, three hundred sixty thousand, nine hundred".