Is 7770 an abundant number and what is its abundance?

Is 7770 an abundant number?

Here we will explain and calculate if 7770 is an abundant number and its abundance if applicable.

7770 is an abundant number if the sum of its proper divisors is greater than 7770.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 7 + 10 + 14 + 15 + 21 + 30 + 35 + 37 + 42 + 70 + 74 + 105 + 111 + 185 + 210 + 222 + 259 + 370 + 518 + 555 + 777 + 1110 + 1295 + 1554 + 2590 + 3885 = 14118.

14118 is greater than 7770. Therefore, 7770 is an abundant number.

The abundance of 7770 is the sum of its proper divisors minus 7770. Thus, the abundance of 7770 is 14118 - 7770 = 6348

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