7878400 has 54 divisors (see below), whose sum is σ = 19516112. Its totient is φ = 3148800.

The previous prime is 7878391. The next prime is 7878413. The reversal of 7878400 is 48787.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5785 + ... + 7015.

Almost surely, 2^7878400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9758056).

7878400 is an abundant number, since it is smaller than the sum of its proper divisors (11637712).

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

7878400 is a wasteful number, since it uses less digits than its factorization.

7878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 7878400 is about 2806.8487668558. The cubic root of 7878400 is about 198.9814886445.

The spelling of 7878400 in words is "seven million, eight hundred seventy-eight thousand, four hundred".