12765000 has 160 divisors (see below), whose sum is σ = 42736320. Its totient is φ = 3168000.

The previous prime is 12764957. The next prime is 12765029. The reversal of 12765000 is 56721.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344982 + ... + 345018.

It is an arithmetic number, because the mean of its divisors is an integer number (267102).

Almost surely, 2^12765000 is an apocalyptic number.

12765000 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 12765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368160).

12765000 is an abundant number, since it is smaller than the sum of its proper divisors (29971320).

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

12765000 is a wasteful number, since it uses less digits than its factorization.

12765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12765000 is about 3572.8140169900. The cubic root of 12765000 is about 233.7080148028.

The spelling of 12765000 in words is "twelve million, seven hundred sixty-five thousand".