13807680 has 112 divisors (see below), whose sum is σ = 46207680. Its totient is φ = 3483648.

The previous prime is 13807669. The next prime is 13807691. The reversal of 13807680 is 8670831.

It is an interprime number because it is at equal distance from previous prime (13807669) and next prime (13807691).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17862 + ... + 18618.

Almost surely, 2^13807680 is an apocalyptic number.

13807680 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 13807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23103840).

13807680 is an abundant number, since it is smaller than the sum of its proper divisors (32400000).

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

13807680 is a wasteful number, since it uses less digits than its factorization.

13807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 13807680 is about 3715.8686736751. The cubic root of 13807680 is about 239.9055183655.

The spelling of 13807680 in words is "thirteen million, eight hundred seven thousand, six hundred eighty".