313078080 has 112 divisors (see below), whose sum is σ = 1136050560. Its totient is φ = 71559168.

The previous prime is 313078063. The next prime is 313078097. The reversal of 313078080 is 80870313.

It is an interprime number because it is at equal distance from previous prime (313078063) and next prime (313078097).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16575 + ... + 30014.

Almost surely, 2^313078080 is an apocalyptic number.

313078080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313078080 is an abundant number, since it is smaller than the sum of its proper divisors (822972480).

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

313078080 is a wasteful number, since it uses less digits than its factorization.

313078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46616 (or 46606 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 313078080 is about 17694.0125466215. The cubic root of 313078080 is about 679.0225865384.

The spelling of 313078080 in words is "three hundred thirteen million, seventy-eight thousand, eighty".