7560

Number
$7560$ (seven thousand, five hundred and sixty) is:


 * $2^3 \times 3^3 \times 5 \times 7$


 * The $1$st highly composite number which is not also superabundant:
 * $\dfrac {\map {\sigma_1} {7560} } {7560} = \dfrac {28 \, 800} {7560} \approx 3 \cdotp 810$, but $\dfrac {\map {\sigma_1} {5040} } {5040} = \dfrac {19 \, 344} {5040} \approx 3 \cdotp 838$, which is greater


 * The $20$th highly composite number after $1$, $2$, $4$, $6$, $12$, $24$, $36$, $48$, $60$, $120$, $180$, $240$, $360$, $720$, $840$, $1260$, $1680$, $2520$, $5040$:
 * $\map {\sigma_0} {7560} = 64$