830315200 has 336 divisors, whose sum is σ = 2539837440. Its totient is φ = 262656000.

The previous prime is 830315179. The next prime is 830315209. The reversal of 830315200 is 2513038.

830315200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830315209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4347105 + ... + 4347295.

It is an arithmetic number, because the mean of its divisors is an integer number (7559040).

Almost surely, 2^830315200 is an apocalyptic number.

830315200 is a gapful number since it is divisible by the number (80) 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 830315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269918720).

830315200 is an abundant number, since it is smaller than the sum of its proper divisors (1709522240).

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

830315200 is a wasteful number, since it uses less digits than its factorization.

830315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 830315200 is about 28815.1904383782. The cubic root of 830315200 is about 939.8985857091.

Adding to 830315200 its reverse (2513038), we get a palindrome (832828238).

The spelling of 830315200 in words is "eight hundred thirty million, three hundred fifteen thousand, two hundred".