313678980 has 288 divisors, whose sum is σ = 1076275200. Its totient is φ = 76422528.

The previous prime is 313678979. The next prime is 313679011. The reversal of 313678980 is 89876313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3970581 + ... + 3970659.

Almost surely, 2^313678980 is an apocalyptic number.

313678980 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 313678980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538137600).

313678980 is an abundant number, since it is smaller than the sum of its proper divisors (762596220).

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

313678980 is a wasteful number, since it uses less digits than its factorization.

313678980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 313678980 is about 17710.9847269992. The cubic root of 313678980 is about 679.4567315986.

The spelling of 313678980 in words is "three hundred thirteen million, six hundred seventy-eight thousand, nine hundred eighty".