87176980800 has 1008 divisors, whose sum is σ = 387134721792. Its totient is φ = 18114969600.

The previous prime is 87176980777. The next prime is 87176980843. The reversal of 87176980800 is 808967178.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93037932 + ... + 93038868.

It is an arithmetic number, because the mean of its divisors is an integer number (384062224).

Almost surely, 2^87176980800 is an apocalyptic number.

87176980800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87176980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193567360896).

87176980800 is an abundant number, since it is smaller than the sum of its proper divisors (299957740992).

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

87176980800 is a wasteful number, since it uses less digits than its factorization.

87176980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 87176980800 in words is "eighty-seven billion, one hundred seventy-six million, nine hundred eighty thousand, eight hundred".