6783040 has 112 divisors (see below), whose sum is σ = 18434304. Its totient is φ = 2355200.

The previous prime is 6783031. The next prime is 6783047. The reversal of 6783040 is 403876.

6783040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (6783047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144297 + ... + 144343.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 2^6783040 is an apocalyptic number.

6783040 is the 1504-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152).

6783040 is an abundant number, since it is smaller than the sum of its proper divisors (11651264).

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

6783040 is a wasteful number, since it uses less digits than its factorization.

6783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 6783040 is about 2604.4270003208. The cubic root of 6783040 is about 189.2960097470.

The spelling of 6783040 in words is "six million, seven hundred eighty-three thousand, forty".