6805120 has 128 divisors (see below), whose sum is σ = 19584000. Its totient is φ = 2257920.

The previous prime is 6805109. The next prime is 6805121. The reversal of 6805120 is 215086.

It is a happy number.

6805120 is nontrivially palindromic in base 6.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6805091 and 6805100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6805121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219505 + ... + 219535.

It is an arithmetic number, because the mean of its divisors is an integer number (153000).

Almost surely, 2^6805120 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 6805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792000).

6805120 is an abundant number, since it is smaller than the sum of its proper divisors (12778880).

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

6805120 is an equidigital number, since it uses as much as digits as its factorization.

6805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 6805120 is about 2608.6624925429. The cubic root of 6805120 is about 189.5011846590.

The spelling of 6805120 in words is "six million, eight hundred five thousand, one hundred twenty".