Cookie Consent by
Search a number
6880 = 25543

6880 has 24 divisors (see below), whose sum is σ = 16632. Its totient is φ = 2688.

The previous prime is 6871. The next prime is 6883. The reversal of 6880 is 886.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6883) by changing a digit.

6880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139 + ... + 181.

It is an arithmetic number, because the mean of its divisors is an integer number (693).

6880 is a Friedman number, since it can be written as 86*80, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 8086 (with its own digits).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316).

6880 is an abundant number, since it is smaller than the sum of its proper divisors (9752).

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

6880 is a wasteful number, since it uses less digits than its factorization.

6880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 6880 is about 82.9457654133. The cubic root of 6880 is about 19.0193708261.

The spelling of 6880 in words is "six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 6880