8878400 has 84 divisors (see below), whose sum is σ = 22677120. Its totient is φ = 3417600.

The previous prime is 8878393. The next prime is 8878411. The reversal of 8878400 is 48788.

It is a congruent number.

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, 49511 + ... + 49689.

Almost surely, 2^8878400 is an apocalyptic number.

8878400 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 8878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338560).

8878400 is an abundant number, since it is smaller than the sum of its proper divisors (13798720).

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

8878400 is a wasteful number, since it uses less digits than its factorization.

8878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 8878400 is about 2979.6644106342. The cubic root of 8878400 is about 207.0673231197.

The spelling of 8878400 in words is "eight million, eight hundred seventy-eight thousand, four hundred".