830870784 has 180 divisors, whose sum is σ = 2624354964. Its totient is φ = 260554752.

The previous prime is 830870783. The next prime is 830870839. The reversal of 830870784 is 487078038.

It can be written as a sum of positive squares in 2 ways, for example, as 394896384 + 435974400 = 19872^2 + 20880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830870783) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 351334 + ... + 353690.

Almost surely, 2^830870784 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 830870784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312177482).

830870784 is an abundant number, since it is smaller than the sum of its proper divisors (1793484180).

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

830870784 is a wasteful number, since it uses less digits than its factorization.

830870784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 830870784 is about 28824.8292969794. The cubic root of 830870784 is about 940.1081752676.

The spelling of 830870784 in words is "eight hundred thirty million, eight hundred seventy thousand, seven hundred eighty-four".