6872880 has 80 divisors (see below), whose sum is σ = 24355584. Its totient is φ = 1570560.

The previous prime is 6872869. The next prime is 6872891. The reversal of 6872880 is 882786.

6872880 is digitally balanced in base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6872869) and next prime (6872891).

It is a tau number, because it is divible by the number of its divisors (80).

6872880 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366 + ... + 3725.

Almost surely, 2^6872880 is an apocalyptic number.

6872880 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 6872880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177792).

6872880 is an abundant number, since it is smaller than the sum of its proper divisors (17482704).

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

6872880 is a wasteful number, since it uses less digits than its factorization.

6872880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 6872880 is about 2621.6178211173. The cubic root of 6872880 is about 190.1280761579.

The spelling of 6872880 in words is "six million, eight hundred seventy-two thousand, eight hundred eighty".