12775840 has 192 divisors, whose sum is σ = 40497408. Its totient is φ = 3686400.

The previous prime is 12775831. The next prime is 12775849. The reversal of 12775840 is 4857721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12775831) and next prime (12775849).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 12775796 and 12775805.

It is not an unprimeable number, because it can be changed into a prime (12775849) 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, 209410 + ... + 209470.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 2^12775840 is an apocalyptic number.

12775840 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 12775840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

12775840 is an abundant number, since it is smaller than the sum of its proper divisors (27721568).

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

12775840 is a wasteful number, since it uses less digits than its factorization.

12775840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 12775840 is about 3574.3307065799. The cubic root of 12775840 is about 233.7741508024.

It can be divided in two parts, 1277 and 5840, that added together give a palindrome (7117).

The spelling of 12775840 in words is "twelve million, seven hundred seventy-five thousand, eight hundred forty".