12755800 has 96 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 4695680.

The previous prime is 12755767. The next prime is 12755807. The reversal of 12755800 is 855721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12755807) 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, 216171 + ... + 216229.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 2^12755800 is an apocalyptic number.

12755800 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 12755800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12755800 is an abundant number, since it is smaller than the sum of its proper divisors (19385000).

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

12755800 is a wasteful number, since it uses less digits than its factorization.

12755800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 12755800 is about 3571.5262843776. The cubic root of 12755800 is about 233.6518552393.

The spelling of 12755800 in words is "twelve million, seven hundred fifty-five thousand, eight hundred".