88720800 has 144 divisors (see below), whose sum is σ = 330103872. Its totient is φ = 20275200.

The previous prime is 88720799. The next prime is 88720811. The reversal of 88720800 is 802788.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14160 + ... + 19440.

It is an arithmetic number, because the mean of its divisors is an integer number (2292388).

Almost surely, 2^88720800 is an apocalyptic number.

88720800 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 88720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165051936).

88720800 is an abundant number, since it is smaller than the sum of its proper divisors (241383072).

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

88720800 is a wasteful number, since it uses less digits than its factorization.

88720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 88720800 is about 9419.1719381270. The cubic root of 88720800 is about 446.0071452802.

The spelling of 88720800 in words is "eighty-eight million, seven hundred twenty thousand, eight hundred".