12832800 has 72 divisors (see below), whose sum is σ = 41778576. Its totient is φ = 3421440.

The previous prime is 12832759. The next prime is 12832801. The reversal of 12832800 is 823821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12832801) 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, 274 + ... + 5073.

It is an arithmetic number, because the mean of its divisors is an integer number (580258).

Almost surely, 2^12832800 is an apocalyptic number.

12832800 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 12832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20889288).

12832800 is an abundant number, since it is smaller than the sum of its proper divisors (28945776).

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

12832800 is a wasteful number, since it uses less digits than its factorization.

12832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5370 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12832800 is about 3582.2897705239. The cubic root of 12832800 is about 234.1210565091.

The spelling of 12832800 in words is "twelve million, eight hundred thirty-two thousand, eight hundred".