830288799 has 40 divisors (see below), whose sum is σ = 1298959200. Its totient is φ = 527529024.

The previous prime is 830288791. The next prime is 830288801. The reversal of 830288799 is 997882038.

It is not a de Polignac number, because 830288799 - 2³ = 830288791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830288791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 649549 + ... + 650825.

It is an arithmetic number, because the mean of its divisors is an integer number (32473980).

Almost surely, 2^830288799 is an apocalyptic number.

830288799 is a deficient number, since it is larger than the sum of its proper divisors (468670401).

830288799 is a wasteful number, since it uses less digits than its factorization.

830288799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 830288799 is about 28814.7323256698. The cubic root of 830288799 is about 939.8886238193. Note that the first 3 decimals are identical.

The spelling of 830288799 in words is "eight hundred thirty million, two hundred eighty-eight thousand, seven hundred ninety-nine".