12768760 has 64 divisors (see below), whose sum is σ = 30909600. Its totient is φ = 4732416.

The previous prime is 12768739. The next prime is 12768761. The reversal of 12768760 is 6786721.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40122 + ... + 40438.

Almost surely, 2^12768760 is an apocalyptic number.

12768760 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 12768760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454800).

12768760 is an abundant number, since it is smaller than the sum of its proper divisors (18140840).

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

12768760 is a wasteful number, since it uses less digits than its factorization.

12768760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 12768760 is about 3573.3401741228. The cubic root of 12768760 is about 233.7309592047.

The spelling of 12768760 in words is "twelve million, seven hundred sixty-eight thousand, seven hundred sixty".