13878280 has 48 divisors (see below), whose sum is σ = 33829380. Its totient is φ = 5121792.

The previous prime is 13878229. The next prime is 13878281. The reversal of 13878280 is 8287831.

It can be written as a sum of positive squares in 6 ways, for example, as 1473796 + 12404484 = 1214^2 + 3522^2 .

It is not an unprimeable number, because it can be changed into a prime (13878281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5734 + ... + 7786.

Almost surely, 2^13878280 is an apocalyptic number.

13878280 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 13878280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914690).

13878280 is an abundant number, since it is smaller than the sum of its proper divisors (19951100).

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

13878280 is a wasteful number, since it uses less digits than its factorization.

13878280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 13878280 is about 3725.3563587931. The cubic root of 13878280 is about 240.3137101332.

The spelling of 13878280 in words is "thirteen million, eight hundred seventy-eight thousand, two hundred eighty".