820330560 has 252 divisors, whose sum is σ = 3282828588. Its totient is φ = 187471872.

The previous prime is 820330547. The next prime is 820330561. The reversal of 820330560 is 65033028.

It can be written as a sum of positive squares in 2 ways, for example, as 433972224 + 386358336 = 20832^2 + 19656^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (820330561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138214 + ... + 144026.

Almost surely, 2^820330560 is an apocalyptic number.

820330560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641414294).

820330560 is an abundant number, since it is smaller than the sum of its proper divisors (2462498028).

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

820330560 is a wasteful number, since it uses less digits than its factorization.

820330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 820330560 is about 28641.4133729465. The cubic root of 820330560 is about 936.1159181442.

Adding to 820330560 its reverse (65033028), we get a palindrome (885363588).

The spelling of 820330560 in words is "eight hundred twenty million, three hundred thirty thousand, five hundred sixty".