6876880 has 40 divisors (see below), whose sum is σ = 16240032. Its totient is φ = 2707584.

The previous prime is 6876869. The next prime is 6876901. The reversal of 6876880 is 886786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4719 + ... + 6001.

Almost surely, 2^6876880 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 6876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8120016).

6876880 is an abundant number, since it is smaller than the sum of its proper divisors (9363152).

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

6876880 is a wasteful number, since it uses less digits than its factorization.

6876880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1357 counting only the distinct ones).

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

The square root of 6876880 is about 2622.3805978538. The cubic root of 6876880 is about 190.1649537024.

The spelling of 6876880 in words is "six million, eight hundred seventy-six thousand, eight hundred eighty".