12787320 has 128 divisors (see below), whose sum is σ = 47255040. Its totient is φ = 2695680.

The previous prime is 12787319. The next prime is 12787321. The reversal of 12787320 is 2378721.

12787320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12787319) and next prime (12787321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12787321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10335 + ... + 11505.

It is an arithmetic number, because the mean of its divisors is an integer number (369180).

Almost surely, 2^12787320 is an apocalyptic number.

12787320 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 12787320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23627520).

12787320 is an abundant number, since it is smaller than the sum of its proper divisors (34467720).

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

12787320 is a wasteful number, since it uses less digits than its factorization.

12787320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 12787320 is about 3575.9362410423. The cubic root of 12787320 is about 233.8441507348.

The spelling of 12787320 in words is "twelve million, seven hundred eighty-seven thousand, three hundred twenty".