12808320 has 128 divisors (see below), whose sum is σ = 46707840. Its totient is φ = 2924544.

The previous prime is 12808319. The next prime is 12808321. The reversal of 12808320 is 2380821.

It is an interprime number because it is at equal distance from previous prime (12808319) and next prime (12808321).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12808320² = 328106122444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12808321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12964 + ... + 13916.

It is an arithmetic number, because the mean of its divisors is an integer number (364905).

Almost surely, 2^12808320 is an apocalyptic number.

12808320 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 12808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353920).

12808320 is an abundant number, since it is smaller than the sum of its proper divisors (33899520).

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

12808320 is an equidigital number, since it uses as much as digits as its factorization.

12808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12808320 is about 3578.8713304616. The cubic root of 12808320 is about 233.9720910538.

The spelling of 12808320 in words is "twelve million, eight hundred eight thousand, three hundred twenty".