88808800 has 72 divisors (see below), whose sum is σ = 223860672. Its totient is φ = 34368000.

The previous prime is 88808791. The next prime is 88808801. The reversal of 88808800 is 880888.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88808801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23010 + ... + 26590.

It is an arithmetic number, because the mean of its divisors is an integer number (3109176).

Almost surely, 2^88808800 is an apocalyptic number.

88808800 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 88808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111930336).

88808800 is an abundant number, since it is smaller than the sum of its proper divisors (135051872).

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

88808800 is a wasteful number, since it uses less digits than its factorization.

88808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 88808800 is about 9423.8421039404. The cubic root of 88808800 is about 446.1545577598.

The spelling of 88808800 in words is "eighty-eight million, eight hundred eight thousand, eight hundred".