6876792 has 128 divisors (see below), whose sum is σ = 21504000. Its totient is φ = 2021760.

The previous prime is 6876791. The next prime is 6876809. The reversal of 6876792 is 2976786.

It is a happy number.

It is a super-2 number, since 2×6876792² = 94580536422528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6876791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87009 + ... + 87087.

It is an arithmetic number, because the mean of its divisors is an integer number (168000).

Almost surely, 2^6876792 is an apocalyptic number.

6876792 is a gapful number since it is divisible by the number (62) 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 6876792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10752000).

6876792 is an abundant number, since it is smaller than the sum of its proper divisors (14627208).

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

6876792 is a wasteful number, since it uses less digits than its factorization.

6876792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 6876792 is about 2622.3638191525. The cubic root of 6876792 is about 190.1641425503.

The spelling of 6876792 in words is "six million, eight hundred seventy-six thousand, seven hundred ninety-two".