878400 has 126 divisors (see below), whose sum is σ = 3173222. Its totient is φ = 230400.

The previous prime is 878387. The next prime is 878411. The reversal of 878400 is 4878.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 876096 = 48^2 + 936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14370 + ... + 14430.

2⁸⁷⁸⁴⁰⁰ is an apocalyptic number.

878400 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 878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586611).

878400 is an abundant number, since it is smaller than the sum of its proper divisors (2294822).

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

878400 is a wasteful number, since it uses less digits than its factorization.

878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 878400 is about 937.2299611088. The cubic root of 878400 is about 95.7702840905.

The spelling of 878400 in words is "eight hundred seventy-eight thousand, four hundred".