13856780 has 48 divisors (see below), whose sum is σ = 34413120. Its totient is φ = 4585728.

The previous prime is 13856779. The next prime is 13856789. The reversal of 13856780 is 8765831.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13856789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2354 + ... + 5766.

It is an arithmetic number, because the mean of its divisors is an integer number (716940).

Almost surely, 2^13856780 is an apocalyptic number.

13856780 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 13856780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206560).

13856780 is an abundant number, since it is smaller than the sum of its proper divisors (20556340).

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

13856780 is a wasteful number, since it uses less digits than its factorization.

13856780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 13856780 is about 3722.4696103528. The cubic root of 13856780 is about 240.1895493307.

The spelling of 13856780 in words is "thirteen million, eight hundred fifty-six thousand, seven hundred eighty".