12778160 has 40 divisors (see below), whose sum is σ = 29889456. Its totient is φ = 5080320.

The previous prime is 12778151. The next prime is 12778163. The reversal of 12778160 is 6187721.

12778160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12778163) 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, 16502 + ... + 17258.

Almost surely, 2^12778160 is an apocalyptic number.

12778160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12778160 is an abundant number, since it is smaller than the sum of its proper divisors (17111296).

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

12778160 is a wasteful number, since it uses less digits than its factorization.

12778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 12778160 is about 3574.6552281304. The cubic root of 12778160 is about 233.7883005100.

It can be divided in two parts, 127 and 78160, that added together give a palindrome (78287).

The spelling of 12778160 in words is "twelve million, seven hundred seventy-eight thousand, one hundred sixty".