# 8768

## 8,768 is an even composite number composed of two prime numbers multiplied together.

What does the number 8768 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 14 divisors.

8768 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fourteen divisors.

## Prime factorization of 8768:

### 26 × 137

(2 × 2 × 2 × 2 × 2 × 2 × 137)

See below for interesting mathematical facts about the number 8768 from the Numbermatics database.

### Names of 8768

• Cardinal: 8768 can be written as Eight thousand, seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 8.768 × 103

### Factors of 8768

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 139

### Divisors of 8768

• Number of divisors d(n): 14
• Complete list of divisors:
• Sum of all divisors σ(n): 17526
• Sum of proper divisors (its aliquot sum) s(n): 8758
• 8768 is a deficient number, because the sum of its proper divisors (8758) is less than itself. Its deficiency is 10

### Bases of 8768

• Binary: 100010010000002
• Base-36: 6RK

### Squares and roots of 8768

• 8768 squared (87682) is 76877824
• 8768 cubed (87683) is 674064760832
• The square root of 8768 is 93.6375992857
• The cube root of 8768 is 20.6205469419

### Scales and comparisons

How big is 8768?
• 8,768 seconds is equal to 2 hours, 26 minutes, 8 seconds.
• To count from 1 to 8,768 would take you about two hours.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 8768 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8768

• 8768 backwards is 8678
• The number of decimal digits it has is: 4
• The sum of 8768's digits is 29
• More coming soon!