12778280 has 32 divisors (see below), whose sum is σ = 29228040. Its totient is φ = 5026560.

The previous prime is 12778277. The next prime is 12778289. The reversal of 12778280 is 8287721.

12778280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9084196 + 3694084 = 3014^2 + 1922^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12778280.

It is not an unprimeable number, because it can be changed into a prime (12778289) 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, 179 + ... + 5058.

Almost surely, 2^12778280 is an apocalyptic number.

12778280 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 12778280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614020).

12778280 is an abundant number, since it is smaller than the sum of its proper divisors (16449760).

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

12778280 is a wasteful number, since it uses less digits than its factorization.

12778280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 12778280 is about 3574.6720129265. The cubic root of 12778280 is about 233.7890323449.

The spelling of 12778280 in words is "twelve million, seven hundred seventy-eight thousand, two hundred eighty".