6783840 has 144 divisors (see below), whose sum is σ = 26496288. Its totient is φ = 1548288.

The previous prime is 6783797. The next prime is 6783853. The reversal of 6783840 is 483876.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 6783795 and 6783804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9744 + ... + 10416.

It is an arithmetic number, because the mean of its divisors is an integer number (184002).

Almost surely, 2^6783840 is an apocalyptic number.

6783840 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 6783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13248144).

6783840 is an abundant number, since it is smaller than the sum of its proper divisors (19712448).

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

6783840 is a wasteful number, since it uses less digits than its factorization.

6783840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6783840 is about 2604.5805804390. The cubic root of 6783840 is about 189.3034513885.

Adding to 6783840 its sum of digits (36), we get a palindrome (6783876).

The spelling of 6783840 in words is "six million, seven hundred eighty-three thousand, eight hundred forty".