800

Names of 800

• Cardinal: 800 can be written as Eight hundred.

Scientific notation

• Scientific notation: 8 × 10²

Factors of 800

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

Divisors of 800

• Number of divisors d(n): 18
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800
• Sum of all divisors σ(n): 1953
• Sum of proper divisors (its aliquot sum) s(n): 1153
• 800 is an abundant number, because the sum of its proper divisors (1153) is greater than itself. Its abundance is 353

Bases of 800

• Binary: 1100100000₂
• Hexadecimal: 0x320
• Base-36: M8

Squares and roots of 800

• 800 squared (800²) is 640000
• 800 cubed (800³) is 512000000
• The square root of 800 is 28.2842712475
• The cube root of 800 is 9.2831776673

Scales and comparisons

• 800 seconds is equal to 13 minutes, 20 seconds.
• To count from 1 to 800 would take you about six minutes.

  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 800 cubic inches would be around 0.8 feet tall.

Recreational maths with 800

• 800 backwards is 008
• 800 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 800's digits is 8
• More coming soon!