312800 has 72 divisors (see below), whose sum is σ = 843696. Its totient is φ = 112640.

The previous prime is 312799. The next prime is 312839. The reversal of 312800 is 8213.

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, 13589 + ... + 13611.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2³¹²⁸⁰⁰ 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 312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848).

312800 is an abundant number, since it is smaller than the sum of its proper divisors (530896).

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

312800 is a wasteful number, since it uses less digits than its factorization.

312800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 312800 is about 559.2852581644. The cubic root of 312800 is about 67.8821488106.

The spelling of 312800 in words is "three hundred twelve thousand, eight hundred".