6805820 has 48 divisors (see below), whose sum is σ = 16486848. Its totient is φ = 2311680.

The previous prime is 6805789. The next prime is 6805829. The reversal of 6805820 is 285086.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6805829) 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, 24080 + ... + 24360.

It is an arithmetic number, because the mean of its divisors is an integer number (343476).

Almost surely, 2^6805820 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 6805820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243424).

6805820 is an abundant number, since it is smaller than the sum of its proper divisors (9681028).

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

6805820 is a wasteful number, since it uses less digits than its factorization.

6805820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 6805820 is about 2608.7966574649. The cubic root of 6805820 is about 189.5076820355.

The spelling of 6805820 in words is "six million, eight hundred five thousand, eight hundred twenty".