830346816 has 112 divisors (see below), whose sum is σ = 2490622400. Its totient is φ = 242030592.

The previous prime is 830346809. The next prime is 830346833. The reversal of 830346816 is 618643038.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 38670 + ... + 56178.

It is an arithmetic number, because the mean of its divisors is an integer number (22237700).

Almost surely, 2^830346816 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 830346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245311200).

830346816 is an abundant number, since it is smaller than the sum of its proper divisors (1660275584).

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

830346816 is a wasteful number, since it uses less digits than its factorization.

830346816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17556 (or 17546 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 830346816 is about 28815.7390326884. The cubic root of 830346816 is about 939.9105150971.

The spelling of 830346816 in words is "eight hundred thirty million, three hundred forty-six thousand, eight hundred sixteen".