An O-acyl product derived from glucose which may be obtained by partial or total esterification of glucose and of vitamin F, comprising a mixture of esters, for example, monoesters, of glucose and of at least one acid chosen from linoleic acid, oleic acid, palmitic acid and stearic acid, compositions, for example, cosmetic and pharmaceutical compositions, comprising this novel derivative, and their use for improving the condition of head hair and/or other hairs, and, for example, for reducing and/or impeding the loss of head hair and/or other hairs, and/or for inducing and/or stimulating hair growth, as well as a process for preparing O-acyl derivatives mainly in position 6 of glucose, comprising preparing a mixed anhydride by reacting a carboxylic acid with a trimethylacetyl halide, followed by reacting said mixed anhydride formed with glucose.