13478800 has 60 divisors (see below), whose sum is σ = 33458176. Its totient is φ = 5212800.

The previous prime is 13478797. The next prime is 13478833. The reversal of 13478800 is 887431.

It is a happy number.

13478800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11857 + ... + 12943.

Almost surely, 2^13478800 is an apocalyptic number.

13478800 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 13478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729088).

13478800 is an abundant number, since it is smaller than the sum of its proper divisors (19979376).

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

13478800 is a wasteful number, since it uses less digits than its factorization.

13478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 13478800 is about 3671.3485260868. The cubic root of 13478800 is about 237.9854521155.

The spelling of 13478800 in words is "thirteen million, four hundred seventy-eight thousand, eight hundred".