Is 810 an abundant number and what is its abundance?

Is 810 an abundant number?

Here we will explain and calculate if 810 is an abundant number and its abundance if applicable.

810 is an abundant number if the sum of its proper divisors is greater than 810.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 27 + 30 + 45 + 54 + 81 + 90 + 135 + 162 + 270 + 405 = 1368.

1368 is greater than 810. Therefore, 810 is an abundant number.

The abundance of 810 is the sum of its proper divisors minus 810. Thus, the abundance of 810 is 1368 - 810 = 558

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