89782800 has 120 divisors (see below), whose sum is σ = 300201024. Its totient is φ = 22894080.

The previous prime is 89782799. The next prime is 89782807. The reversal of 89782800 is 828798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (89782807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25974 + ... + 29226.

Almost surely, 2^89782800 is an apocalyptic number.

89782800 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 89782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150100512).

89782800 is an abundant number, since it is smaller than the sum of its proper divisors (210418224).

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

89782800 is a wasteful number, since it uses less digits than its factorization.

89782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 89782800 is about 9475.3786204035. The cubic root of 89782800 is about 447.7796801456.

The spelling of 89782800 in words is "eighty-nine million, seven hundred eighty-two thousand, eight hundred".