6806880 has 144 divisors (see below), whose sum is σ = 24176880. Its totient is φ = 1741824.

The previous prime is 6806837. The next prime is 6806893. The reversal of 6806880 is 886086.

It is a Cunningham number, because it is equal to 2609²-1.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41679 + ... + 41841.

It is an arithmetic number, because the mean of its divisors is an integer number (167895).

Almost surely, 2^6806880 is an apocalyptic number.

6806880 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 6806880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088440).

6806880 is an abundant number, since it is smaller than the sum of its proper divisors (17370000).

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

6806880 is a wasteful number, since it uses less digits than its factorization.

6806880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6806880 is about 2608.9998083557. Note that the first 3 decimals coincide. The cubic root of 6806880 is about 189.5175200720.

The spelling of 6806880 in words is "six million, eight hundred six thousand, eight hundred eighty".