The smallest digit that must be added to 8176160,such that it is divisible by 8 is

To determine the smallest digit that must be added to 817616081761608176160 such that it is divisible by 888, we use the rule for divisibility by 888:

Rule for divisibility by 8:

A number is divisible by 888 if the last three digits of the number are divisible by 888.

Step 1: Check the last three digits

The last three digits of 817616081761608176160 are 160160160.

Step 2: Check divisibility of 160160160 by 888

Since 160÷8=20160 \div 8 = 20160÷8=20, 160160160 is already divisible by 888. This means the entire number 817616081761608176160 is already divisible by 888.

Final Answer:

The smallest digit that must be added is 0