12798720 has 216 divisors, whose sum is σ = 48786192. Its totient is φ = 3072000.

The previous prime is 12798661. The next prime is 12798727. The reversal of 12798720 is 2789721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 404 × 396 × 80.

It is not an unprimeable number, because it can be changed into a prime (12798727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126670 + ... + 126770.

It is an arithmetic number, because the mean of its divisors is an integer number (225862).

Almost surely, 2^12798720 is an apocalyptic number.

12798720 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 12798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393096).

12798720 is an abundant number, since it is smaller than the sum of its proper divisors (35987472).

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

12798720 is a wasteful number, since it uses less digits than its factorization.

12798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 12798720 is about 3577.5298740891. The cubic root of 12798720 is about 233.9136214165.

It can be divided in two parts, 1279 and 8720, that added together give a palindrome (9999).

The spelling of 12798720 in words is "twelve million, seven hundred ninety-eight thousand, seven hundred twenty".