12789000 has 288 divisors, whose sum is σ = 52018200. Its totient is φ = 2822400.

The previous prime is 12788999. The next prime is 12789031. The reversal of 12789000 is 98721.

It can be written as a sum of positive squares in 4 ways, for example, as 3896676 + 8892324 = 1974^2 + 2982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440986 + ... + 441014.

Almost surely, 2^12789000 is an apocalyptic number.

12789000 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 12789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26009100).

12789000 is an abundant number, since it is smaller than the sum of its proper divisors (39229200).

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

12789000 is a wasteful number, since it uses less digits than its factorization.

12789000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 12789000 is about 3576.1711368445. The cubic root of 12789000 is about 233.8543911128.

The spelling of 12789000 in words is "twelve million, seven hundred eighty-nine thousand".