6782240 has 96 divisors (see below), whose sum is σ = 17781120. Its totient is φ = 2433024.

The previous prime is 6782239. The next prime is 6782249. The reversal of 6782240 is 422876.

6782240 = T₂₄ + T₂₅ + ... + T₃₄₃.

6782240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6782249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69872 + ... + 69968.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 2^6782240 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 6782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890560).

6782240 is an abundant number, since it is smaller than the sum of its proper divisors (10998880).

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

6782240 is a wasteful number, since it uses less digits than its factorization.

6782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 6782240 is about 2604.2734111456. The cubic root of 6782240 is about 189.2885675204.

The spelling of 6782240 in words is "six million, seven hundred eighty-two thousand, two hundred forty".