12877480 has 128 divisors (see below), whose sum is σ = 37428480. Its totient is φ = 3870720.

The previous prime is 12877477. The next prime is 12877507. The reversal of 12877480 is 8477821.

12877480 = 280² + 281² + ... + 392².

12877480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113904 + ... + 114016.

It is an arithmetic number, because the mean of its divisors is an integer number (292410).

Almost surely, 2^12877480 is an apocalyptic number.

12877480 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 12877480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714240).

12877480 is an abundant number, since it is smaller than the sum of its proper divisors (24551000).

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

12877480 is a wasteful number, since it uses less digits than its factorization.

12877480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 12877480 is about 3588.5205865370. The cubic root of 12877480 is about 234.3924551148.

The spelling of 12877480 in words is "twelve million, eight hundred seventy-seven thousand, four hundred eighty".