314007680 has 384 divisors, whose sum is σ = 1004659200. Its totient is φ = 92897280.

The previous prime is 314007647. The next prime is 314007691. The reversal of 314007680 is 86700413.

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, 10129265 + ... + 10129295.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^314007680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502329600).

314007680 is an abundant number, since it is smaller than the sum of its proper divisors (690651520).

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

314007680 is a wasteful number, since it uses less digits than its factorization.

314007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 314007680 is about 17720.2618490811. The cubic root of 314007680 is about 679.6939799497.

The spelling of 314007680 in words is "three hundred fourteen million, seven thousand, six hundred eighty".