88772800 has 84 divisors (see below), whose sum is σ = 220818456. Its totient is φ = 35123200.

The previous prime is 88772797. The next prime is 88772833. The reversal of 88772800 is 827788.

It is a super-2 number, since 2×88772800² = 15761220039680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180555 + ... + 181045.

Almost surely, 2^88772800 is an apocalyptic number.

88772800 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 88772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110409228).

88772800 is an abundant number, since it is smaller than the sum of its proper divisors (132045656).

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

88772800 is a wasteful number, since it uses less digits than its factorization.

88772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The square root of 88772800 is about 9421.9318613541. The cubic root of 88772800 is about 446.0942644299.

The spelling of 88772800 in words is "eighty-eight million, seven hundred seventy-two thousand, eight hundred".