6830797920 has 384 divisors, whose sum is σ = 24048783360. Its totient is φ = 1622384640.

The previous prime is 6830797903. The next prime is 6830797921. The reversal of 6830797920 is 297970386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830797921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10460314 + ... + 10460966.

It is an arithmetic number, because the mean of its divisors is an integer number (62627040).

Almost surely, 2^6830797920 is an apocalyptic number.

6830797920 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 6830797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12024391680).

6830797920 is an abundant number, since it is smaller than the sum of its proper divisors (17217985440).

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

6830797920 is a wasteful number, since it uses less digits than its factorization.

6830797920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 6830797920 is about 82648.6413681435. The cubic root of 6830797920 is about 1897.3923526066.

The spelling of 6830797920 in words is "six billion, eight hundred thirty million, seven hundred ninety-seven thousand, nine hundred twenty".