784

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Number

$784$ (seven hundred and eighty-four) is:

$2^4 \times 7^2$

The sum of the first $7$ cubes:

$784 = 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3$

The $10$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $324$, $400$, $576$ to be the divisor sum value of some (strictly) positive integer:

$784 = \map {\sigma_1} {364}$

The $12$th even integer after $2$, $4$, $94$, $96$, $98$, $400$, $402$, $404$, $514$, $516$, $518$ that cannot be expressed as the sum of $2$ prime numbers which are each one of a pair of twin primes

The $26$th positive integer which cannot be expressed as the sum of a square and a prime:

$1$, $10$, $25$, $34$, $58$, $64$, $85$, $91$, $121$, $130$, $169$, $196$, $214$, $226$, $289$, $324$, $370$, $400$, $526$, $529$, $625$, $676$, $706$, $730$, $771$, $784$, $\ldots$

The $28$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $361$, $400$, $441$, $484$, $529$, $57$, $625$, $676$, $729$:

$784 = 28 \times 28$

The $47$th powerful number after $1$, $4$, $8$, $9$, $16$, $25$, $\ldots$, $400$, $432$, $441$, $484$, $500$, $512$, $529$, $576$, $625$, $648$, $675$, $676$, $729$:

$784 = 2^4 \times 7^2$

Also see

• Previous  ... Next: Sum of Sequence of Cubes
• Previous  ... Next: Even Integers not Sum of 2 Twin Primes
• Previous  ... Next: Square Numbers which are Divisor Sum values
• Previous  ... Next: Powerful Number
• Previous  ... Next: Square Number
• Previous  ... Next: Numbers not Sum of Square and Prime