12780456 has 96 divisors (see below), whose sum is σ = 36365760. Its totient is φ = 3734016.

The previous prime is 12780409. The next prime is 12780511. The reversal of 12780456 is 65408721.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 93220 + ... + 93356.

It is an arithmetic number, because the mean of its divisors is an integer number (378810).

Almost surely, 2^12780456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12780456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18182880).

12780456 is an abundant number, since it is smaller than the sum of its proper divisors (23585304).

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

12780456 is a wasteful number, since it uses less digits than its factorization.

12780456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12780456 is about 3574.9763635582. The cubic root of 12780456 is about 233.8023021553.

The spelling of 12780456 in words is "twelve million, seven hundred eighty thousand, four hundred fifty-six".