12758720 has 56 divisors (see below), whose sum is σ = 32729424. Its totient is φ = 4709376.

The previous prime is 12758719. The next prime is 12758723. The reversal of 12758720 is 2785721.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12758723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2627 + ... + 5693.

It is an arithmetic number, because the mean of its divisors is an integer number (584454).

Almost surely, 2^12758720 is an apocalyptic number.

12758720 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 12758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16364712).

12758720 is an abundant number, since it is smaller than the sum of its proper divisors (19970704).

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

12758720 is a wasteful number, since it uses less digits than its factorization.

12758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 12758720 is about 3571.9350498014. The cubic root of 12758720 is about 233.6696827207.

The spelling of 12758720 in words is "twelve million, seven hundred fifty-eight thousand, seven hundred twenty".