A composition comprising the reaction product of a polypropylene comprising at least 50 mol % propylene, and having a molecular weight distribution (Mw/Mn) greater than 6, a branching index (g′vis) of at least 0.97, and a melt strength greater than 10 cN determined using an extensional rheometer at 190° C.; and within the range from 0.01 to 3 wt % of at least one organic peroxide, by weight of the polypropylene and organic peroxide. Such hyperbranched polypropylenes are useful in films, foamed articles, and thermoformed articles.