830908320 has 192 divisors, whose sum is σ = 3023588736. Its totient is φ = 189562880.

The previous prime is 830908301. The next prime is 830908363. The reversal of 830908320 is 23809038.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85132 + ... + 94388.

It is an arithmetic number, because the mean of its divisors is an integer number (15747858).

Almost surely, 2^830908320 is an apocalyptic number.

830908320 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 830908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511794368).

830908320 is an abundant number, since it is smaller than the sum of its proper divisors (2192680416).

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

830908320 is a wasteful number, since it uses less digits than its factorization.

830908320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9303 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 830908320 is about 28825.4803949561. The cubic root of 830908320 is about 940.1223320494.

The spelling of 830908320 in words is "eight hundred thirty million, nine hundred eight thousand, three hundred twenty".