830050560 has 108 divisors (see below), whose sum is σ = 2871928332. Its totient is φ = 221343744.

The previous prime is 830050477. The next prime is 830050561. The reversal of 830050560 is 65050038.

It can be written as a sum of positive squares in 2 ways, for example, as 175509504 + 654541056 = 13248^2 + 25584^2 .

It is a super-3 number, since 3×830050560³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (830050561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24507 + ... + 47546.

It is an arithmetic number, because the mean of its divisors is an integer number (26591929).

Almost surely, 2^830050560 is an apocalyptic number.

830050560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830050560 is an abundant number, since it is smaller than the sum of its proper divisors (2041877772).

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

830050560 is a wasteful number, since it uses less digits than its factorization.

830050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72080 (or 72063 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 830050560 is about 28810.5980500232. The cubic root of 830050560 is about 939.7987195410.

The spelling of 830050560 in words is "eight hundred thirty million, fifty thousand, five hundred sixty".