12792080 has 80 divisors (see below), whose sum is σ = 34712064. Its totient is φ = 4293120.

The previous prime is 12792079. The next prime is 12792083. The reversal of 12792080 is 8029721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12792083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29465 + ... + 29895.

Almost surely, 2^12792080 is an apocalyptic number.

12792080 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 12792080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356032).

12792080 is an abundant number, since it is smaller than the sum of its proper divisors (21919984).

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

12792080 is a wasteful number, since it uses less digits than its factorization.

12792080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 12792080 is about 3576.6017390814. The cubic root of 12792080 is about 233.8731628101.

The spelling of 12792080 in words is "twelve million, seven hundred ninety-two thousand, eighty".