13770880 has 32 divisors (see below), whose sum is σ = 32922540. Its totient is φ = 5508096.

The previous prime is 13770863. The next prime is 13770929. The reversal of 13770880 is 8807731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 287296 = 3672^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10119 + ... + 11398.

Almost surely, 2^13770880 is an apocalyptic number.

13770880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13770880 is an abundant number, since it is smaller than the sum of its proper divisors (19151660).

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

13770880 is an equidigital number, since it uses as much as digits as its factorization.

13770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21536 (or 21524 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 13770880 is about 3710.9136341338. The cubic root of 13770880 is about 239.6921980027.

It can be divided in two parts, 137 and 70880, that added together give a palindrome (71017).

The spelling of 13770880 in words is "thirteen million, seven hundred seventy thousand, eight hundred eighty".