6782256 has 60 divisors (see below), whose sum is σ = 20446608. Its totient is φ = 2086272.

The previous prime is 6782249. The next prime is 6782257. The reversal of 6782256 is 6522876.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6782256.

It is not an unprimeable number, because it can be changed into a prime (6782257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61 + ... + 3683.

Almost surely, 2^6782256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6782256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223304).

6782256 is an abundant number, since it is smaller than the sum of its proper divisors (13664352).

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

6782256 is a wasteful number, since it uses less digits than its factorization.

6782256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3641 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 6782256 is about 2604.2764830179. The cubic root of 6782256 is about 189.2887163707.

The spelling of 6782256 in words is "six million, seven hundred eighty-two thousand, two hundred fifty-six".