830419072 has 96 divisors (see below), whose sum is σ = 1986992640. Its totient is φ = 344332800.

The previous prime is 830419021. The next prime is 830419133. The reversal of 830419072 is 270914038.

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 11 ways as a sum of consecutive naturals, for example, 192297 + ... + 196567.

It is an arithmetic number, because the mean of its divisors is an integer number (20697840).

Almost surely, 2^830419072 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 830419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993496320).

830419072 is an abundant number, since it is smaller than the sum of its proper divisors (1156573568).

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

830419072 is a wasteful number, since it uses less digits than its factorization.

830419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 830419072 is about 28816.9927646866. The cubic root of 830419072 is about 939.9377776831.

The spelling of 830419072 in words is "eight hundred thirty million, four hundred nineteen thousand, seventy-two".