12307680 has 384 divisors, whose sum is σ = 55157760. Its totient is φ = 2488320.

The previous prime is 12307679. The next prime is 12307681. The reversal of 12307680 is 8670321.

It is an interprime number because it is at equal distance from previous prime (12307679) and next prime (12307681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12307681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 332622 + ... + 332658.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^12307680 is an apocalyptic number.

12307680 is a gapful number since it is divisible by the number (10) 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 12307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

12307680 is an abundant number, since it is smaller than the sum of its proper divisors (42850080).

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

12307680 is a wasteful number, since it uses less digits than its factorization.

12307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12307680 is about 3508.2303231116. The cubic root of 12307680 is about 230.8830576918.

12307680 divided by its product of nonzero digits (2016) gives a triangular number (6105 = T₁₁₀).

The spelling of 12307680 in words is "twelve million, three hundred seven thousand, six hundred eighty".