12785000 has 40 divisors (see below), whose sum is σ = 29966970. Its totient is φ = 5112000.

The previous prime is 12784999. The next prime is 12785011. The reversal of 12785000 is 58721.

It can be written as a sum of positive squares in 5 ways, for example, as 68644 + 12716356 = 262^2 + 3566^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3722 + ... + 6278.

Almost surely, 2^12785000 is an apocalyptic number.

12785000 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 12785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14983485).

12785000 is an abundant number, since it is smaller than the sum of its proper divisors (17181970).

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

12785000 is an equidigital number, since it uses as much as digits as its factorization.

12785000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 12785000 is about 3575.6118357562. The cubic root of 12785000 is about 233.8300077859.

The spelling of 12785000 in words is "twelve million, seven hundred eighty-five thousand".