By analyzing a data set of lick to view the MathML source">2.92 fb−1 of lick to view the MathML source">e+e− collision data taken at and lick to view the MathML source">106.41×106lick to view the MathML source">ψ(3686) decays taken at with the BESIII detector at the BEPCII collider, we measure the branching fraction and the partial decay width for lick to view the MathML source">ψ(3770)→γχc0 to be lick to view the MathML source">B(ψ(3770)→γχc0)=(6.88±0.28±0.67)×10−3 and lick to view the MathML source">Γ[ψ(3770)→γχc0]=(187±8±19) keV, respectively. These are the most precise measurements to date.