6800976 has 160 divisors (see below), whose sum is σ = 24165120. Its totient is φ = 1783296.

The previous prime is 6800929. The next prime is 6800999. The reversal of 6800976 is 6790086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6800976.

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 31 ways as a sum of consecutive naturals, for example, 39226 + ... + 39398.

It is an arithmetic number, because the mean of its divisors is an integer number (151032).

Almost surely, 2^6800976 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 6800976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082560).

6800976 is an abundant number, since it is smaller than the sum of its proper divisors (17364144).

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

6800976 is a wasteful number, since it uses less digits than its factorization.

6800976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6800976 is about 2607.8680948238. The cubic root of 6800976 is about 189.4627110604.

It can be divided in two parts, 6800 and 976, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6800976 in words is "six million, eight hundred thousand, nine hundred seventy-six".