315320800 has 72 divisors (see below), whose sum is σ = 803292336. Its totient is φ = 120637440.

The previous prime is 315320779. The next prime is 315320821. The reversal of 315320800 is 8023513.

It is an interprime number because it is at equal distance from previous prime (315320779) and next prime (315320821).

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, 9832 + ... + 26968.

It is an arithmetic number, because the mean of its divisors is an integer number (11156838).

Almost surely, 2^315320800 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 315320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401646168).

315320800 is an abundant number, since it is smaller than the sum of its proper divisors (487971536).

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

315320800 is a wasteful number, since it uses less digits than its factorization.

315320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17180 (or 17167 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 315320800 is about 17757.2745656534. The cubic root of 315320800 is about 680.6401123560.

The spelling of 315320800 in words is "three hundred fifteen million, three hundred twenty thousand, eight hundred".