12772480 has 64 divisors (see below), whose sum is σ = 34908480. Its totient is φ = 4377600.

The previous prime is 12772453. The next prime is 12772481. The reversal of 12772480 is 8427721.

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 (12772481) 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, 3055 + ... + 5905.

It is an arithmetic number, because the mean of its divisors is an integer number (545445).

Almost surely, 2^12772480 is an apocalyptic number.

12772480 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 12772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454240).

12772480 is an abundant number, since it is smaller than the sum of its proper divisors (22136000).

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

12772480 is an equidigital number, since it uses as much as digits as its factorization.

12772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 12772480 is about 3573.8606576082. The cubic root of 12772480 is about 233.7536550850.

The spelling of 12772480 in words is "twelve million, seven hundred seventy-two thousand, four hundred eighty".