316800 has 144 divisors (see below), whose sum is σ = 1233180. Its totient is φ = 76800.

The previous prime is 316793. The next prime is 316801. The reversal of 316800 is 8613.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316801) by changing a digit.

316800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28795 + ... + 28805.

2³¹⁶⁸⁰⁰ is an apocalyptic number.

316800 is a gapful number since it is divisible by the number (30) 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 316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616590).

316800 is an abundant number, since it is smaller than the sum of its proper divisors (916380).

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

316800 is a wasteful number, since it uses less digits than its factorization.

316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 316800 is about 562.8498911788. The cubic root of 316800 is about 68.1702768343.

The spelling of 316800 in words is "three hundred sixteen thousand, eight hundred".