313022880 has 288 divisors, whose sum is σ = 1132657344. Its totient is φ = 81616896.

The previous prime is 313022873. The next prime is 313022909. The reversal of 313022880 is 88220313.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3226992 + ... + 3227088.

It is an arithmetic number, because the mean of its divisors is an integer number (3932838).

Almost surely, 2^313022880 is an apocalyptic number.

313022880 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 313022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566328672).

313022880 is an abundant number, since it is smaller than the sum of its proper divisors (819634464).

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

313022880 is an equidigital number, since it uses as much as digits as its factorization.

313022880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 313022880 is about 17692.4526281689. The cubic root of 313022880 is about 678.9826771652.

The spelling of 313022880 in words is "three hundred thirteen million, twenty-two thousand, eight hundred eighty".