6829930800 has 960 divisors, whose sum is σ = 31175147520. Its totient is φ = 1378944000.

The previous prime is 6829930787. The next prime is 6829930823. The reversal of 6829930800 is 80399286.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35758705 + ... + 35758895.

It is an arithmetic number, because the mean of its divisors is an integer number (32474112).

Almost surely, 2^6829930800 is an apocalyptic number.

6829930800 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 6829930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587573760).

6829930800 is an abundant number, since it is smaller than the sum of its proper divisors (24345216720).

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

6829930800 is a wasteful number, since it uses less digits than its factorization.

6829930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6829930800 is about 82643.3953803932. The cubic root of 6829930800 is about 1897.3120625000.

It can be divided in two parts, 68299 and 30800, that added together give a palindrome (99099).

The spelling of 6829930800 in words is "six billion, eight hundred twenty-nine million, nine hundred thirty thousand, eight hundred".