6879760 has 40 divisors (see below), whose sum is σ = 16695360. Its totient is φ = 2631552.

The previous prime is 6879683. The next prime is 6879797. The reversal of 6879760 is 679786.

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

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, 30 + ... + 3709.

It is an arithmetic number, because the mean of its divisors is an integer number (417384).

Almost surely, 2^6879760 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 6879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347680).

6879760 is an abundant number, since it is smaller than the sum of its proper divisors (9815600).

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

6879760 is a wasteful number, since it uses less digits than its factorization.

6879760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 6879760 is about 2622.9296597507. The cubic root of 6879760 is about 190.1914966807.

The spelling of 6879760 in words is "six million, eight hundred seventy-nine thousand, seven hundred sixty".