12793000 has 64 divisors (see below), whose sum is σ = 32685120. Its totient is φ = 4648000.

The previous prime is 12792971. The next prime is 12793007. The reversal of 12793000 is 39721.

12793000 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12793007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10419 + ... + 11581.

It is an arithmetic number, because the mean of its divisors is an integer number (510705).

Almost surely, 2^12793000 is an apocalyptic number.

12793000 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 12793000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342560).

12793000 is an abundant number, since it is smaller than the sum of its proper divisors (19892120).

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

12793000 is a wasteful number, since it uses less digits than its factorization.

12793000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 12793000 is about 3576.7303504737. The cubic root of 12793000 is about 233.8787693561.

The spelling of 12793000 in words is "twelve million, seven hundred ninety-three thousand".