88760800 has 36 divisors (see below), whose sum is σ = 216689256. Its totient is φ = 35504000.

The previous prime is 88760783. The next prime is 88760801. The reversal of 88760800 is 806788.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88760800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88760801) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 54676 + ... + 56275.

It is an arithmetic number, because the mean of its divisors is an integer number (6019146).

Almost surely, 2^88760800 is an apocalyptic number.

88760800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88760800 is an abundant number, since it is smaller than the sum of its proper divisors (127928456).

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

88760800 is a wasteful number, since it uses less digits than its factorization.

88760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110971 (or 110958 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 88760800 is about 9421.2950277549. The cubic root of 88760800 is about 446.0741630309.

The spelling of 88760800 in words is "eighty-eight million, seven hundred sixty thousand, eight hundred".