13879800 has 144 divisors (see below), whose sum is σ = 50923080. Its totient is φ = 3360000.

The previous prime is 13879793. The next prime is 13879819. The reversal of 13879800 is 897831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19450 + ... + 20150.

Almost surely, 2^13879800 is an apocalyptic number.

13879800 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 13879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25461540).

13879800 is an abundant number, since it is smaller than the sum of its proper divisors (37043280).

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

13879800 is a wasteful number, since it uses less digits than its factorization.

13879800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 13879800 is about 3725.5603605364. The cubic root of 13879800 is about 240.3224831585.

The spelling of 13879800 in words is "thirteen million, eight hundred seventy-nine thousand, eight hundred".