13876800 has 252 divisors, whose sum is σ = 53858160. Its totient is φ = 3118080.

The previous prime is 13876799. The next prime is 13876801. The reversal of 13876800 is 867831.

13876800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13876799) and next prime (13876801).

It is not an unprimeable number, because it can be changed into a prime (13876801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235171 + ... + 235229.

Almost surely, 2^13876800 is an apocalyptic number.

13876800 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 13876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26929080).

13876800 is an abundant number, since it is smaller than the sum of its proper divisors (39981360).

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

13876800 is a wasteful number, since it uses less digits than its factorization.

13876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 13876800 is about 3725.1577147820. The cubic root of 13876800 is about 240.3051673614.

The spelling of 13876800 in words is "thirteen million, eight hundred seventy-six thousand, eight hundred".