12779910 has 128 divisors (see below), whose sum is σ = 40158720. Its totient is φ = 2851200.

The previous prime is 12779861. The next prime is 12779917. The reversal of 12779910 is 1997721.

12779910 is nontrivially palindromic in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12779917) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38445 + ... + 38775.

It is an arithmetic number, because the mean of its divisors is an integer number (313740).

Almost surely, 2^12779910 is an apocalyptic number.

12779910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12779910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360).

12779910 is an abundant number, since it is smaller than the sum of its proper divisors (27378810).

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

12779910 is a wasteful number, since it uses less digits than its factorization.

12779910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 12779910 is about 3574.8999986014. The cubic root of 12779910 is about 233.7989726478.

It can be divided in two parts, 12779 and 910, that added together give a square (13689 = 117²).

The spelling of 12779910 in words is "twelve million, seven hundred seventy-nine thousand, nine hundred ten".