6878880 has 144 divisors (see below), whose sum is σ = 24943464. Its totient is φ = 1720320.

The previous prime is 6878867. The next prime is 6878891. The reversal of 6878880 is 888786.

It can be written as a sum of positive squares in 4 ways, for example, as 6533136 + 345744 = 2556^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 24340 + ... + 24620.

Almost surely, 2^6878880 is an apocalyptic number.

6878880 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 6878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12471732).

6878880 is an abundant number, since it is smaller than the sum of its proper divisors (18064584).

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

6878880 is a wasteful number, since it uses less digits than its factorization.

6878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

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

The square root of 6878880 is about 2622.7619030328. The cubic root of 6878880 is about 190.1833871123.

The spelling of 6878880 in words is "six million, eight hundred seventy-eight thousand, eight hundred eighty".