830784816 has 80 divisors (see below), whose sum is σ = 2407941120. Its totient is φ = 274224960.

The previous prime is 830784809. The next prime is 830784821. The reversal of 830784816 is 618487038.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35161 + ... + 53831.

It is an arithmetic number, because the mean of its divisors is an integer number (30099264).

Almost surely, 2^830784816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830784816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203970560).

830784816 is an abundant number, since it is smaller than the sum of its proper divisors (1577156304).

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

830784816 is a wasteful number, since it uses less digits than its factorization.

830784816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18791 (or 18779 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 830784816 is about 28823.3380440226. The cubic root of 830784816 is about 940.0757506481.

The spelling of 830784816 in words is "eight hundred thirty million, seven hundred eighty-four thousand, eight hundred sixteen".