6876100 has 144 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 1987200.

The previous prime is 6876097. The next prime is 6876101. The reversal of 6876100 is 16786.

6876100 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

6876100 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (6876101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146277 + ... + 146323.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

Almost surely, 2^6876100 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 6876100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

6876100 is an abundant number, since it is smaller than the sum of its proper divisors (13122620).

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

6876100 is a wasteful number, since it uses less digits than its factorization.

6876100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 6876100 is about 2622.2318738052. The cubic root of 6876100 is about 190.1577637038.

The spelling of 6876100 in words is "six million, eight hundred seventy-six thousand, one hundred".