6782940 has 120 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 1752192.

The previous prime is 6782939. The next prime is 6782959. The reversal of 6782940 is 492876.

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

It is a junction number, because it is equal to n+sod(n) for n = 6782895 and 6782904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85821 + ... + 85899.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^6782940 is an apocalyptic number.

6782940 is a gapful number since it is divisible by the number (60) 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 6782940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

6782940 is an abundant number, since it is smaller than the sum of its proper divisors (15171300).

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

6782940 is a wasteful number, since it uses less digits than its factorization.

6782940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6782940 is about 2604.4078021692. The cubic root of 6782940 is about 189.2950795007.

Subtracting from 6782940 its reverse (492876), we obtain a square (6290064 = 2508²).

The spelling of 6782940 in words is "six million, seven hundred eighty-two thousand, nine hundred forty".