830793824 has 72 divisors (see below), whose sum is σ = 1949223528. Its totient is φ = 347343360.

The previous prime is 830793811. The next prime is 830793853. The reversal of 830793824 is 428397038.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 57827 + ... + 70749.

It is an arithmetic number, because the mean of its divisors is an integer number (27072549).

Almost surely, 2^830793824 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 830793824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974611764).

830793824 is an abundant number, since it is smaller than the sum of its proper divisors (1118429704).

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

830793824 is a wasteful number, since it uses less digits than its factorization.

830793824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 830793824 is about 28823.4943058610. The cubic root of 830793824 is about 940.0791483076.

The spelling of 830793824 in words is "eight hundred thirty million, seven hundred ninety-three thousand, eight hundred twenty-four".