12780672 has 64 divisors (see below), whose sum is σ = 34443360. Its totient is φ = 4198400.

The previous prime is 12780661. The next prime is 12780689. The reversal of 12780672 is 27608721.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 31672 + ... + 32072.

Almost surely, 2^12780672 is an apocalyptic number.

12780672 is a gapful number since it is divisible by the number (12) 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 12780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221680).

12780672 is an abundant number, since it is smaller than the sum of its proper divisors (21662688).

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

12780672 is an equidigital number, since it uses as much as digits as its factorization.

12780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 12780672 is about 3575.0065734205. The cubic root of 12780672 is about 233.8036192970.

The spelling of 12780672 in words is "twelve million, seven hundred eighty thousand, six hundred seventy-two".