12796000 has 96 divisors (see below), whose sum is σ = 36009792. Its totient is φ = 4377600.

The previous prime is 12795997. The next prime is 12796001. The reversal of 12796000 is 69721.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12796001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27772 + ... + 28228.

It is an arithmetic number, because the mean of its divisors is an integer number (375102).

Almost surely, 2^12796000 is an apocalyptic number.

12796000 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 12796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004896).

12796000 is an abundant number, since it is smaller than the sum of its proper divisors (23213792).

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

12796000 is an equidigital number, since it uses as much as digits as its factorization.

12796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 12796000 is about 3577.1497033253. The cubic root of 12796000 is about 233.8970497039.

The spelling of 12796000 in words is "twelve million, seven hundred ninety-six thousand".