12827700 has 72 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3420000.

The previous prime is 12827693. The next prime is 12827713. The reversal of 12827700 is 772821.

12827700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325 + ... + 5075.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 2^12827700 is an apocalyptic number.

12827700 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 12827700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

12827700 is an abundant number, since it is smaller than the sum of its proper divisors (28419660).

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

12827700 is a wasteful number, since it uses less digits than its factorization.

12827700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 12827700 is about 3581.5778645731. The cubic root of 12827700 is about 234.0900376720.

The spelling of 12827700 in words is "twelve million, eight hundred twenty-seven thousand, seven hundred".