6678880 has 96 divisors (see below), whose sum is σ = 17992800. Its totient is φ = 2336256.

The previous prime is 6678877. The next prime is 6678883. The reversal of 6678880 is 888766.

6678880 = 288² + 289² + ... + 352².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6678877) and next prime (6678883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6678883) 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 15 ways as a sum of consecutive naturals, for example, 351511 + ... + 351529.

It is an arithmetic number, because the mean of its divisors is an integer number (187425).

Almost surely, 2^6678880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996400).

6678880 is an abundant number, since it is smaller than the sum of its proper divisors (11313920).

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

6678880 is a wasteful number, since it uses less digits than its factorization.

6678880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 6678880 is about 2584.3529170761. The cubic root of 6678880 is about 188.3220675295.

The spelling of 6678880 in words is "six million, six hundred seventy-eight thousand, eight hundred eighty".