The word excogitators is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 24
Highest Scoring Words With Friends™ Play In The Letters excogitators
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Seven Letter Word Alert: (62 words)
aigrets, artiest, attires, cagiest, cargoes, cattier, citator, citrate, coaster, coaxers, coexist, cooties, corsage, costate, cottage, cotters, cristae, egotist, erotica, erotics, exactor, excitor, exotica, exotics, extorts, extract, gaiters, garotte, gastric, geostat, goiters, goitres, gooiest, goosier, goriest, grottos, iratest, oxcarts, raciest, recoats, retoast, ricotta, risotto, rotates, scatter, scooter, scoriae, scrooge, sootier, stagier, statice, storage, striate, targets, tastier, toaster, tooters, tootsie, triages, tricots, trisect, xerotic