313396776 has 240 divisors, whose sum is σ = 1104623520. Its totient is φ = 81259200.

The previous prime is 313396753. The next prime is 313396789. The reversal of 313396776 is 677693313.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 548571 + ... + 549141.

It is an arithmetic number, because the mean of its divisors is an integer number (4602598).

Almost surely, 2^313396776 is an apocalyptic number.

313396776 is a gapful number since it is divisible by the number (36) 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 313396776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552311760).

313396776 is an abundant number, since it is smaller than the sum of its proper divisors (791226744).

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

313396776 is a wasteful number, since it uses less digits than its factorization.

313396776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 594 counting only the distinct ones).

The product of its digits is 428652, while the sum is 45.

The square root of 313396776 is about 17703.0160142276. The cubic root of 313396776 is about 679.2529107603.

The spelling of 313396776 in words is "three hundred thirteen million, three hundred ninety-six thousand, seven hundred seventy-six".