6792120 has 128 divisors (see below), whose sum is σ = 23904000. Its totient is φ = 1710720.

The previous prime is 6792089. The next prime is 6792143. The reversal of 6792120 is 212976.

It is a super-2 number, since 2×6792120² = 92265788188800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 20355 + ... + 20685.

It is an arithmetic number, because the mean of its divisors is an integer number (186750).

Almost surely, 2^6792120 is an apocalyptic number.

6792120 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 6792120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952000).

6792120 is an abundant number, since it is smaller than the sum of its proper divisors (17111880).

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

6792120 is a wasteful number, since it uses less digits than its factorization.

6792120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6792120 is about 2606.1696030765. The cubic root of 6792120 is about 189.3804380362.

The spelling of 6792120 in words is "six million, seven hundred ninety-two thousand, one hundred twenty".