307031680 has 64 divisors (see below), whose sum is σ = 736144200. Its totient is φ = 122454016.

The previous prime is 307031677. The next prime is 307031687. The reversal of 307031680 is 86130703.

It can be written as a sum of positive squares in 4 ways, for example, as 296115264 + 10916416 = 17208^2 + 3304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (307031687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379116 + ... + 379924.

Almost surely, 2^307031680 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 307031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368072100).

307031680 is an abundant number, since it is smaller than the sum of its proper divisors (429112520).

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

307031680 is an equidigital number, since it uses as much as digits as its factorization.

307031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 307031680 is about 17522.3194811646. The cubic root of 307031680 is about 674.6228748432.

The spelling of 307031680 in words is "three hundred seven million, thirty-one thousand, six hundred eighty".