313996800 has 480 divisors, whose sum is σ = 1214734752. Its totient is φ = 70778880.

The previous prime is 313996777. The next prime is 313996807. The reversal of 313996800 is 8699313.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313996807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8486382 + ... + 8486418.

Almost surely, 2^313996800 is an apocalyptic number.

313996800 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 313996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607367376).

313996800 is an abundant number, since it is smaller than the sum of its proper divisors (900737952).

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

313996800 is a wasteful number, since it uses less digits than its factorization.

313996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 313996800 is about 17719.9548532156. The cubic root of 313996800 is about 679.6861296577.

It can be divided in two parts, 3 and 13996800, that multiplied together give a square (41990400 = 6480²).

The spelling of 313996800 in words is "three hundred thirteen million, nine hundred ninety-six thousand, eight hundred".