6830389800 has 576 divisors, whose sum is σ = 27013896000. Its totient is φ = 1590036480.

The previous prime is 6830389771. The next prime is 6830389831. The reversal of 6830389800 is 89830386.

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 143 ways as a sum of consecutive naturals, for example, 12003916 + ... + 12004484.

It is an arithmetic number, because the mean of its divisors is an integer number (46899125).

Almost surely, 2^6830389800 is an apocalyptic number.

6830389800 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 6830389800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506948000).

6830389800 is an abundant number, since it is smaller than the sum of its proper divisors (20183506200).

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

6830389800 is a wasteful number, since it uses less digits than its factorization.

6830389800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6830389800 is about 82646.1723251597. The cubic root of 6830389800 is about 1897.3545639911.

The spelling of 6830389800 in words is "six billion, eight hundred thirty million, three hundred eighty-nine thousand, eight hundred".