6788880 has 160 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 1548288.

The previous prime is 6788879. The next prime is 6788891. The reversal of 6788880 is 888876.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14896 + ... + 15344.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 2^6788880 is an apocalyptic number.

6788880 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 6788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

6788880 is an abundant number, since it is smaller than the sum of its proper divisors (19995120).

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

6788880 is a wasteful number, since it uses less digits than its factorization.

6788880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 6788880 is about 2605.5479270203. The cubic root of 6788880 is about 189.3503202815.

The spelling of 6788880 in words is "six million, seven hundred eighty-eight thousand, eight hundred eighty".