89378800 has 120 divisors (see below), whose sum is σ = 248260896. Its totient is φ = 30289920.

The previous prime is 89378789. The next prime is 89378827. The reversal of 89378800 is 887398.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383484 + ... + 383716.

Almost surely, 2^89378800 is an apocalyptic number.

89378800 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 89378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124130448).

89378800 is an abundant number, since it is smaller than the sum of its proper divisors (158882096).

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

89378800 is a wasteful number, since it uses less digits than its factorization.

89378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 89378800 is about 9454.0361750947. The cubic root of 89378800 is about 447.1070382794.

The spelling of 89378800 in words is "eighty-nine million, three hundred seventy-eight thousand, eight hundred".