88880800 has 72 divisors (see below), whose sum is σ = 218353212. Its totient is φ = 35328000.

The previous prime is 88880797. The next prime is 88880819. The reversal of 88880800 is 808888.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35473936 + 53406864 = 5956^2 + 7308^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 192570 + ... + 193030.

Almost surely, 2^88880800 is an apocalyptic number.

88880800 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 88880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109176606).

88880800 is an abundant number, since it is smaller than the sum of its proper divisors (129472412).

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

88880800 is a wasteful number, since it uses less digits than its factorization.

88880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 709 counting only the distinct ones).

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

The square root of 88880800 is about 9427.6614279470. The cubic root of 88880800 is about 446.2750955556.

The spelling of 88880800 in words is "eighty-eight million, eight hundred eighty thousand, eight hundred".