13807760 has 20 divisors (see below), whose sum is σ = 32103228. Its totient is φ = 5523072.

The previous prime is 13807753. The next prime is 13807769. The reversal of 13807760 is 6770831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1752976 + 12054784 = 1324^2 + 3472^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13807769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86219 + ... + 86378.

Almost surely, 2^13807760 is an apocalyptic number.

13807760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13807760 is an abundant number, since it is smaller than the sum of its proper divisors (18295468).

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

13807760 is a wasteful number, since it uses less digits than its factorization.

13807760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172610 (or 172604 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 13807760 is about 3715.8794383026. The cubic root of 13807760 is about 239.9059816923.

The spelling of 13807760 in words is "thirteen million, eight hundred seven thousand, seven hundred sixty".