Is 1770 an abundant number and what is its abundance?

Is 1770 an abundant number?

Here we will explain and calculate if 1770 is an abundant number and its abundance if applicable.

1770 is an abundant number if the sum of its proper divisors is greater than 1770.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 30 + 59 + 118 + 177 + 295 + 354 + 590 + 885 = 2550.

2550 is greater than 1770. Therefore, 1770 is an abundant number.

The abundance of 1770 is the sum of its proper divisors minus 1770. Thus, the abundance of 1770 is 2550 - 1770 = 780

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