12768080 has 40 divisors (see below), whose sum is σ = 31971912. Its totient is φ = 4713984.

The previous prime is 12768047. The next prime is 12768089. The reversal of 12768080 is 8086721.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 12588304 = 424^2 + 3548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5099 + ... + 7178.

Almost surely, 2^12768080 is an apocalyptic number.

12768080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12768080 is an abundant number, since it is smaller than the sum of its proper divisors (19203832).

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

12768080 is a wasteful number, since it uses less digits than its factorization.

12768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12303 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 12768080 is about 3573.2450237844. The cubic root of 12768080 is about 233.7268100189.

The spelling of 12768080 in words is "twelve million, seven hundred sixty-eight thousand, eighty".