12807480 has 128 divisors (see below), whose sum is σ = 44697600. Its totient is φ = 2875392.

The previous prime is 12807479. The next prime is 12807491. The reversal of 12807480 is 8470821.

12807480 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 (30).

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, 66264 + ... + 66456.

It is an arithmetic number, because the mean of its divisors is an integer number (349200).

Almost surely, 2^12807480 is an apocalyptic number.

12807480 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 12807480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348800).

12807480 is an abundant number, since it is smaller than the sum of its proper divisors (31890120).

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

12807480 is a wasteful number, since it uses less digits than its factorization.

12807480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12807480 is about 3578.7539731029. The cubic root of 12807480 is about 233.9669761271.

The spelling of 12807480 in words is "twelve million, eight hundred seven thousand, four hundred eighty".