307687680 has 288 divisors, whose sum is σ = 1133193600. Its totient is φ = 78962688.

The previous prime is 307687673. The next prime is 307687687. The reversal of 307687680 is 86786703.

It is an interprime number because it is at equal distance from previous prime (307687673) and next prime (307687687).

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 (45).

It is not an unprimeable number, because it can be changed into a prime (307687687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1002087 + ... + 1002393.

It is an arithmetic number, because the mean of its divisors is an integer number (3934700).

Almost surely, 2^307687680 is an apocalyptic number.

307687680 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 307687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566596800).

307687680 is an abundant number, since it is smaller than the sum of its proper divisors (825505920).

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

307687680 is a wasteful number, since it uses less digits than its factorization.

307687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 307687680 is about 17541.0284761185. The cubic root of 307687680 is about 675.1029966289.

The spelling of 307687680 in words is "three hundred seven million, six hundred eighty-seven thousand, six hundred eighty".