13777680 has 160 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 3073536.

The previous prime is 13777669. The next prime is 13777723. The reversal of 13777680 is 8677731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99051 + ... + 99189.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^13777680 is an apocalyptic number.

13777680 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 13777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

13777680 is an abundant number, since it is smaller than the sum of its proper divisors (36219120).

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

13777680 is a wasteful number, since it uses less digits than its factorization.

13777680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 13777680 is about 3711.8297374745. The cubic root of 13777680 is about 239.7316444951.

The spelling of 13777680 in words is "thirteen million, seven hundred seventy-seven thousand, six hundred eighty".