6876000 has 144 divisors (see below), whose sum is σ = 24530688. Its totient is φ = 1824000.

The previous prime is 6875993. The next prime is 6876029. The reversal of 6876000 is 6786.

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

It is a congruent number.

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, 35905 + ... + 36095.

It is an arithmetic number, because the mean of its divisors is an integer number (170352).

Almost surely, 2^6876000 is an apocalyptic number.

6876000 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 6876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265344).

6876000 is an abundant number, since it is smaller than the sum of its proper divisors (17654688).

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

6876000 is a wasteful number, since it uses less digits than its factorization.

6876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6876000 is about 2622.2128060095. The cubic root of 6876000 is about 190.1568418698.

The spelling of 6876000 in words is "six million, eight hundred seventy-six thousand".