13777120 has 48 divisors (see below), whose sum is σ = 37201248. Its totient is φ = 4723200.

The previous prime is 13777097. The next prime is 13777129. The reversal of 13777120 is 2177731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13777129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5031 + ... + 7270.

It is an arithmetic number, because the mean of its divisors is an integer number (775026).

Almost surely, 2^13777120 is an apocalyptic number.

13777120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13777120 is an abundant number, since it is smaller than the sum of its proper divisors (23424128).

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

13777120 is a wasteful number, since it uses less digits than its factorization.

13777120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12323 (or 12315 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 13777120 is about 3711.7543022134. The cubic root of 13777120 is about 239.7283964510.

The spelling of 13777120 in words is "thirteen million, seven hundred seventy-seven thousand, one hundred twenty".