88920800 has 72 divisors (see below), whose sum is σ = 222454512. Its totient is φ = 34688000.

The previous prime is 88920787. The next prime is 88920823. The reversal of 88920800 is 802988.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31445 + ... + 34155.

It is an arithmetic number, because the mean of its divisors is an integer number (3089646).

Almost surely, 2^88920800 is an apocalyptic number.

88920800 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 88920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111227256).

88920800 is an abundant number, since it is smaller than the sum of its proper divisors (133533712).

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

88920800 is a wasteful number, since it uses less digits than its factorization.

88920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 88920800 is about 9429.7826061898. The cubic root of 88920800 is about 446.3420328716.

The spelling of 88920800 in words is "eighty-eight million, nine hundred twenty thousand, eight hundred".