12779000 has 64 divisors (see below), whose sum is σ = 32235840. Its totient is φ = 4713600.

The previous prime is 12778999. The next prime is 12779017. The reversal of 12779000 is 97721.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12509 + ... + 13491.

It is an arithmetic number, because the mean of its divisors is an integer number (503685).

Almost surely, 2^12779000 is an apocalyptic number.

12779000 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 12779000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117920).

12779000 is an abundant number, since it is smaller than the sum of its proper divisors (19456840).

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

12779000 is a wasteful number, since it uses less digits than its factorization.

12779000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 12779000 is about 3574.7727200481. The cubic root of 12779000 is about 233.7934232577.

The spelling of 12779000 in words is "twelve million, seven hundred seventy-nine thousand".