12772880 has 40 divisors (see below), whose sum is σ = 30152832. Its totient is φ = 5030784.

The previous prime is 12772871. The next prime is 12772891. The reversal of 12772880 is 8827721.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12772880.

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, 4169 + ... + 6551.

Almost surely, 2^12772880 is an apocalyptic number.

12772880 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 12772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076416).

12772880 is an abundant number, since it is smaller than the sum of its proper divisors (17379952).

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

12772880 is a wasteful number, since it uses less digits than its factorization.

12772880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 12772880 is about 3573.9166190609. The cubic root of 12772880 is about 233.7560952398.

The spelling of 12772880 in words is "twelve million, seven hundred seventy-two thousand, eight hundred eighty".