6789120 has 192 divisors, whose sum is σ = 24766560. Its totient is φ = 1572864.

The previous prime is 6789089. The next prime is 6789121. The reversal of 6789120 is 219876.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6789121) 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, 399352 + ... + 399368.

Almost surely, 2^6789120 is an apocalyptic number.

6789120 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 6789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

6789120 is an abundant number, since it is smaller than the sum of its proper divisors (17977440).

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

6789120 is a wasteful number, since it uses less digits than its factorization.

6789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 6789120 is about 2605.5939821853. The cubic root of 6789120 is about 189.3525515549.

The spelling of 6789120 in words is "six million, seven hundred eighty-nine thousand, one hundred twenty".