830534784 has 128 divisors (see below), whose sum is σ = 2317178880. Its totient is φ = 263070720.

The previous prime is 830534737. The next prime is 830534851. The reversal of 830534784 is 487435038.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2393299 + ... + 2393645.

It is an arithmetic number, because the mean of its divisors is an integer number (18102960).

Almost surely, 2^830534784 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 830534784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158589440).

830534784 is an abundant number, since it is smaller than the sum of its proper divisors (1486644096).

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

830534784 is a wasteful number, since it uses less digits than its factorization.

830534784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 830534784 is about 28819.0003990423. Note that the first 3 decimals coincide. The cubic root of 830534784 is about 939.9814331628.

The spelling of 830534784 in words is "eight hundred thirty million, five hundred thirty-four thousand, seven hundred eighty-four".