6882792 has 64 divisors (see below), whose sum is σ = 20062080. Its totient is φ = 1926912.

The previous prime is 6882791. The next prime is 6882797. The reversal of 6882792 is 2972886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 6⁴ + 8 + 8³ + 2⁹ + 7³ + 9⁷ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (6882791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8518 + ... + 9290.

It is an arithmetic number, because the mean of its divisors is an integer number (313470).

Almost surely, 2^6882792 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 6882792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10031040).

6882792 is an abundant number, since it is smaller than the sum of its proper divisors (13179288).

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

6882792 is a wasteful number, since it uses less digits than its factorization.

6882792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 838 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 6882792 is about 2623.5075757466. The cubic root of 6882792 is about 190.2194325353.

The spelling of 6882792 in words is "six million, eight hundred eighty-two thousand, seven hundred ninety-two".