12768500 has 24 divisors (see below), whose sum is σ = 27887496. Its totient is φ = 5107200.

The previous prime is 12768493. The next prime is 12768517. The reversal of 12768500 is 586721.

12768500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80656 + 12687844 = 284^2 + 3562^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12269 + ... + 13268.

It is an arithmetic number, because the mean of its divisors is an integer number (1161979).

Almost surely, 2^12768500 is an apocalyptic number.

12768500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12768500 is an abundant number, since it is smaller than the sum of its proper divisors (15118996).

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

12768500 is a wasteful number, since it uses less digits than its factorization.

12768500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25556 (or 25544 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 12768500 is about 3573.3037934102. The cubic root of 12768500 is about 233.7293727687.

The spelling of 12768500 in words is "twelve million, seven hundred sixty-eight thousand, five hundred".