830392992 has 432 divisors, whose sum is σ = 2944045440. Its totient is φ = 227335680.

The previous prime is 830392973. The next prime is 830393023. The reversal of 830392992 is 299293038.

830392992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17667913 + ... + 17667959.

It is an arithmetic number, because the mean of its divisors is an integer number (6814920).

Almost surely, 2^830392992 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 830392992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472022720).

830392992 is an abundant number, since it is smaller than the sum of its proper divisors (2113652448).

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

830392992 is a wasteful number, since it uses less digits than its factorization.

830392992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 830392992 is about 28816.5402503493. The cubic root of 830392992 is about 939.9279377381.

The spelling of 830392992 in words is "eight hundred thirty million, three hundred ninety-two thousand, nine hundred ninety-two".