12789600 has 108 divisors (see below), whose sum is σ = 42208236. Its totient is φ = 3363840.

The previous prime is 12789599. The next prime is 12789611. The reversal of 12789600 is 698721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 175164 + ... + 175236.

It is an arithmetic number, because the mean of its divisors is an integer number (390817).

Almost surely, 2^12789600 is an apocalyptic number.

12789600 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 12789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21104118).

12789600 is an abundant number, since it is smaller than the sum of its proper divisors (29418636).

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

12789600 is an equidigital number, since it uses as much as digits as its factorization.

12789600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12789600 is about 3576.2550244634. The cubic root of 12789600 is about 233.8580481733.

It can be divided in two parts, 1278 and 9600, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 12789600 in words is "twelve million, seven hundred eighty-nine thousand, six hundred".