6876480 has 224 divisors, whose sum is σ = 25603200. Its totient is φ = 1548288.

The previous prime is 6876439. The next prime is 6876491. The reversal of 6876480 is 846786.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237106 + ... + 237134.

It is an arithmetic number, because the mean of its divisors is an integer number (114300).

Almost surely, 2^6876480 is an apocalyptic number.

6876480 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 6876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

6876480 is an abundant number, since it is smaller than the sum of its proper divisors (18726720).

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

6876480 is a wasteful number, since it uses less digits than its factorization.

6876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 6876480 is about 2622.3043301646. The cubic root of 6876480 is about 190.1612665916.

The spelling of 6876480 in words is "six million, eight hundred seventy-six thousand, four hundred eighty".