12378800 has 60 divisors (see below), whose sum is σ = 33996336. Its totient is φ = 4243200.

The previous prime is 12378799. The next prime is 12378809. The reversal of 12378800 is 887321.

12378800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12378809) 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, 590 + ... + 5010.

Almost surely, 2^12378800 is an apocalyptic number.

12378800 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 12378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998168).

12378800 is an abundant number, since it is smaller than the sum of its proper divisors (21617536).

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

12378800 is a wasteful number, since it uses less digits than its factorization.

12378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 12378800 is about 3518.3518868925. The cubic root of 12378800 is about 231.3269235204.

The spelling of 12378800 in words is "twelve million, three hundred seventy-eight thousand, eight hundred".