12792780 has 288 divisors, whose sum is σ = 52835328. Its totient is φ = 2419200.

The previous prime is 12792763. The next prime is 12792797. The reversal of 12792780 is 8729721.

12792780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12792763) and next prime (12792797).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180145 + ... + 180215.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^12792780 is an apocalyptic number.

12792780 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 12792780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

12792780 is an abundant number, since it is smaller than the sum of its proper divisors (40042548).

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

12792780 is a wasteful number, since it uses less digits than its factorization.

12792780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 12792780 is about 3576.6995959963. The cubic root of 12792780 is about 233.8774286847.

The spelling of 12792780 in words is "twelve million, seven hundred ninety-two thousand, seven hundred eighty".