12844800 has 162 divisors, whose sum is σ = 46128992. Its totient is φ = 3409920.

The previous prime is 12844789. The next prime is 12844807. The reversal of 12844800 is 844821.

12844800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12844807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57489 + ... + 57711.

Almost surely, 2^12844800 is an apocalyptic number.

12844800 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 12844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064496).

12844800 is an abundant number, since it is smaller than the sum of its proper divisors (33284192).

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

12844800 is a wasteful number, since it uses less digits than its factorization.

12844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12844800 is about 3583.9642855363. The cubic root of 12844800 is about 234.1940096039.

It can be divided in two parts, 1284 and 4800, that added together give a square (6084 = 78²).

The spelling of 12844800 in words is "twelve million, eight hundred forty-four thousand, eight hundred".