12772080 has 160 divisors (see below), whose sum is σ = 45145920. Its totient is φ = 3359232.

The previous prime is 12772063. The next prime is 12772091. The reversal of 12772080 is 8027721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174924 + ... + 174996.

It is an arithmetic number, because the mean of its divisors is an integer number (282162).

Almost surely, 2^12772080 is an apocalyptic number.

12772080 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 12772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22572960).

12772080 is an abundant number, since it is smaller than the sum of its proper divisors (32373840).

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

12772080 is an frugal number, since it uses more digits than its factorization.

12772080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 12772080 is about 3573.8046952792. The cubic root of 12772080 is about 233.7512148793.

The spelling of 12772080 in words is "twelve million, seven hundred seventy-two thousand, eighty".