12577280 has 80 divisors (see below), whose sum is σ = 32040360. Its totient is φ = 4734976.

The previous prime is 12577277. The next prime is 12577291. The reversal of 12577280 is 8277521.

12577280 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 10549504 + 2027776 = 3248^2 + 1424^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739832 + ... + 739848.

Almost surely, 2^12577280 is an apocalyptic number.

12577280 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 12577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020180).

12577280 is an abundant number, since it is smaller than the sum of its proper divisors (19463080).

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

12577280 is an frugal number, since it uses more digits than its factorization.

12577280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 12577280 is about 3546.4461084302. The cubic root of 12577280 is about 232.5567287480.

The spelling of 12577280 in words is "twelve million, five hundred seventy-seven thousand, two hundred eighty".