720

Number
$720$ (seven hundred and twenty) is:


 * $2^4 \times 3^2 \times 5$


 * The $6$th factorial after $1$, $2$, $6$, $24$, $120$:
 * $720 = 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1$


 * The $14$th highly composite number after $1$, $2$, $4$, $6$, $12$, $24$, $36$, $48$, $60$, $120$, $180$, $240$, $360$:
 * $\map {\sigma_0} {720} = 24$


 * The $14$th superabundant number after $1$, $2$, $4$, $6$, $12$, $24$, $36$, $48$, $60$, $120$, $180$, $240$, $360$:
 * $\dfrac {\map {\sigma_1} {720} } {720} = \dfrac {2418} {720} = 3 \cdotp 358 \dot 3$


 * The $16$th positive integer after $128$, $192$, $256$, $288$, $320$, $384$, $432$, $448$, $480$, $512$, $576$, $640$, $648$, $672$, $704$ with $7$ or more prime factors:
 * $720 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 5$


 * The $41$st highly abundant number after $1$, $2$, $3$, $4$, $6$, $8$, $10$, $\ldots$, $210$, $216$, $240$, $288$, $300$, $336$, $360$, $420$, $480$, $504$, $600$, $630$, $660$:
 * $\map {\sigma_1} {720} = 2418$


 * The product of consecutive integers in $2$ different ways:
 * $720 = 6 \times 5 \times 4 \times 3 \times 2 = 10 \times 9 \times 8$


 * The only factorial which can be expressed as the sum of two squares:
 * $6! = 12^2 + 24^2$

Also see

 * 720 is Product of Consecutive Numbers in Two Ways
 * Factorial which is Sum of Two Squares