By analyzing a data set of 2.92 fb$^{-1}$ of $e^+e^-$ collision data taken at $sqrt s= 3.773~rm GeV$ and 106.41$times 10^{6}$ $psi(3686)$ decays taken at $sqrt s= 3.686~rm GeV$ with the BESIII detector at the BEPCII collider, we measure the branching fraction and the partial decay width for $psi(3770)togammachi_{c0}$ to be ${mathcal B}(psi(3770)togammachi_{c0})=(6.88pm0.28pm0.67)times 10^{-3}$ and $Gamma[psi(3770)togammachi_{c0}]=(187pm8pm19)~rm keV$, respectively. These are the most precise measurements to date.
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