13782380 has 24 divisors (see below), whose sum is σ = 29022000. Its totient is φ = 5497920.

The previous prime is 13782371. The next prime is 13782397. The reversal of 13782380 is 8328731.

13782380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9290 + ... + 10670.

It is an arithmetic number, because the mean of its divisors is an integer number (1209250).

Almost surely, 2^13782380 is an apocalyptic number.

13782380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13782380 is an abundant number, since it is smaller than the sum of its proper divisors (15239620).

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

13782380 is a wasteful number, since it uses less digits than its factorization.

13782380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 13782380 is about 3712.4627944264. The cubic root of 13782380 is about 239.7589013974.

The spelling of 13782380 in words is "thirteen million, seven hundred eighty-two thousand, three hundred eighty".