88800800 has 72 divisors (see below), whose sum is σ = 236516112. Its totient is φ = 32288000.

The previous prime is 88800799. The next prime is 88800821. The reversal of 88800800 is 800888.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 3755 + ... + 13845.

It is an arithmetic number, because the mean of its divisors is an integer number (3284946).

Almost surely, 2^88800800 is an apocalyptic number.

88800800 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 88800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118258056).

88800800 is an abundant number, since it is smaller than the sum of its proper divisors (147715312).

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

88800800 is a wasteful number, since it uses less digits than its factorization.

88800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 88800800 is about 9423.4176390522. The cubic root of 88800800 is about 446.1411606503.

The spelling of 88800800 in words is "eighty-eight million, eight hundred thousand, eight hundred".