6830880 has 192 divisors, whose sum is σ = 26127360. Its totient is φ = 1465344.

The previous prime is 6830869. The next prime is 6830897. The reversal of 6830880 is 880386.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63787 + ... + 63893.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^6830880 is an apocalyptic number.

6830880 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 6830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

6830880 is an abundant number, since it is smaller than the sum of its proper divisors (19296480).

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

6830880 is a wasteful number, since it uses less digits than its factorization.

6830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 6830880 is about 2613.5952249727. The cubic root of 6830880 is about 189.7399952370.

The spelling of 6830880 in words is "six million, eight hundred thirty thousand, eight hundred eighty".