12755600 has 120 divisors (see below), whose sum is σ = 36164352. Its totient is φ = 4262400.

The previous prime is 12755599. The next prime is 12755609. The reversal of 12755600 is 655721.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12755600.

It is not an unprimeable number, because it can be changed into a prime (12755609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57089 + ... + 57311.

Almost surely, 2^12755600 is an apocalyptic number.

12755600 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 12755600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18082176).

12755600 is an abundant number, since it is smaller than the sum of its proper divisors (23408752).

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

12755600 is a wasteful number, since it uses less digits than its factorization.

12755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 12755600 is about 3571.4982850339. The cubic root of 12755600 is about 233.6506340794.

The spelling of 12755600 in words is "twelve million, seven hundred fifty-five thousand, six hundred".