6880800 has 144 divisors (see below), whose sum is σ = 23248512. Its totient is φ = 1766400.

The previous prime is 6880789. The next prime is 6880807. The reversal of 6880800 is 80886.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6880807) 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 23 ways as a sum of consecutive naturals, for example, 112770 + ... + 112830.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^6880800 is an apocalyptic number.

6880800 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 6880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256).

6880800 is an abundant number, since it is smaller than the sum of its proper divisors (16367712).

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

6880800 is a wasteful number, since it uses less digits than its factorization.

6880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 6880800 is about 2623.1279038583. The cubic root of 6880800 is about 190.2010798246.

The spelling of 6880800 in words is "six million, eight hundred eighty thousand, eight hundred".