6728880 has 120 divisors (see below), whose sum is σ = 22217328. Its totient is φ = 1683968.

The previous prime is 6728873. The next prime is 6728881. The reversal of 6728880 is 888276.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (6728881) 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, 126934 + ... + 126986.

Almost surely, 2^6728880 is an apocalyptic number.

6728880 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 6728880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108664).

6728880 is an abundant number, since it is smaller than the sum of its proper divisors (15488448).

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

6728880 is a wasteful number, since it uses less digits than its factorization.

6728880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 6728880 is about 2594.0084810964. The cubic root of 6728880 is about 188.7908439015.

The spelling of 6728880 in words is "six million, seven hundred twenty-eight thousand, eight hundred eighty".