316779120 has 480 divisors, whose sum is σ = 1318040640. Its totient is φ = 69672960.

The previous prime is 316779109. The next prime is 316779131. The reversal of 316779120 is 21977613.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (316779109) and next prime (316779131).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4339404 + ... + 4339476.

It is an arithmetic number, because the mean of its divisors is an integer number (2745918).

Almost surely, 2^316779120 is an apocalyptic number.

316779120 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 316779120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659020320).

316779120 is an abundant number, since it is smaller than the sum of its proper divisors (1001261520).

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

316779120 is a wasteful number, since it uses less digits than its factorization.

316779120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 316779120 is about 17798.2898054841. The cubic root of 316779120 is about 681.6877912112.

The spelling of 316779120 in words is "three hundred sixteen million, seven hundred seventy-nine thousand, one hundred twenty".