13788720 has 120 divisors (see below), whose sum is σ = 50545872. Its totient is φ = 3340800.

The previous prime is 13788703. The next prime is 13788721. The reversal of 13788720 is 2788731.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13788721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7050 + ... + 8790.

Almost surely, 2^13788720 is an apocalyptic number.

13788720 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 13788720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25272936).

13788720 is an abundant number, since it is smaller than the sum of its proper divisors (36757152).

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

13788720 is a wasteful number, since it uses less digits than its factorization.

13788720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 13788720 is about 3713.3165768623. The cubic root of 13788720 is about 239.7956594032.

The spelling of 13788720 in words is "thirteen million, seven hundred eighty-eight thousand, seven hundred twenty".