12780160 has 64 divisors (see below), whose sum is σ = 32191200. Its totient is φ = 4838400.

The previous prime is 12780149. The next prime is 12780169. The reversal of 12780160 is 6108721.

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

It is not an unprimeable number, because it can be changed into a prime (12780169) 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, 11635 + ... + 12685.

Almost surely, 2^12780160 is an apocalyptic number.

12780160 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 12780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095600).

12780160 is an abundant number, since it is smaller than the sum of its proper divisors (19411040).

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

12780160 is a wasteful number, since it uses less digits than its factorization.

12780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 12780160 is about 3574.9349644434. The cubic root of 12780160 is about 233.8004971593.

Adding to 12780160 its reverse (6108721), we get a palindrome (18888881).

The spelling of 12780160 in words is "twelve million, seven hundred eighty thousand, one hundred sixty".