the number has 7 digits it is evenly divided by 00 the value of one of the digits is 60,000 the digit in the hundredth place is both even and prime the digit is the thousands place is 1/2 the value of the digit in the ten thousand place the digit in the hundred thousands place is equal to the number of quarts in a gallon the digit in the millions place is the largest 1-digit composite number what is the mystery number?

assuming you meant it is divisible by 100, we have

xxxxx00
xx6xx00
xx6x200
xx63200
x463200
9463200

man, you ever heard of punctuation?

the value of one of the digit is 60,000

9463200

To find the mystery number, let's break down the given clues one by one:

1. The number has 7 digits: This tells us that the mystery number is a 7-digit number.

2. It is evenly divided by 00: Since 00 is a synonym for "100," we can infer that the mystery number is divisible by 100. This means that the last two digits of the number are zeros.

3. One of the digits has a value of 60,000: Since no digit can have a value greater than 9, this clue suggests that one of the digits represents a place value of 60,000. This means the digit in the ten thousandth place is 6.

4. The digit in the hundredth place is both even and prime: The only even prime digit is 2, so the digit in the hundredth place is 2.

5. The digit in the thousands place is 1/2 the value of the digit in the ten thousandth place: We know the digit in the ten thousandth place is 6, so the digit in the thousands place is 1/2 of 6, which is 3.

6. The digit in the hundred thousands place is equal to the number of quarts in a gallon: There are 4 quarts in a gallon, so the digit in the hundred thousands place is 4.

7. The digit in the millions place is the largest 1-digit composite number: The largest 1-digit composite number is 8. Therefore, the digit in the millions place is 8.

Putting all the clues together, the mystery number is: 8__4__3_000. Since it is divisible by 100, it must end in 00. Therefore, the mystery number is 864,300.