87992800 has 144 divisors (see below), whose sum is σ = 258733440. Its totient is φ = 28546560.

The previous prime is 87992791. The next prime is 87992837. The reversal of 87992800 is 829978.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105987 + ... + 106813.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 2^87992800 is an apocalyptic number.

87992800 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 87992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129366720).

87992800 is an abundant number, since it is smaller than the sum of its proper divisors (170740640).

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

87992800 is a wasteful number, since it uses less digits than its factorization.

87992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 87992800 is about 9380.4477505074. The cubic root of 87992800 is about 444.7838869825.

The spelling of 87992800 in words is "eighty-seven million, nine hundred ninety-two thousand, eight hundred".