Is 720 an abundant number and what is its abundance?

Is 720 an abundant number?

Here we will explain and calculate if 720 is an abundant number and its abundance if applicable.

720 is an abundant number if the sum of its proper divisors is greater than 720.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 48 + 60 + 72 + 80 + 90 + 120 + 144 + 180 + 240 + 360 = 1698.

1698 is greater than 720. Therefore, 720 is an abundant number.

The abundance of 720 is the sum of its proper divisors minus 720. Thus, the abundance of 720 is 1698 - 720 = 978

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