We present a multi-wavelength study of the properties of supernova remnants (SNRs) in the nearby Sculptor Group Sd galaxy NGC 7793. Using our own Very Large Array radio observations at 6 and 20 cm, as well as archived ROSAT X-ray data, previously published optical results and our own H-alpha image, we have searched for X-ray and radio counterparts to previously known optically-identified SNRs and for new previously unidentified SNRs at these two wavelength regimes. Only two of the 28 optically-identified SNRs are detected at another wavelength. The most noteworthy source in our study is N7793-S26, which is the only SNR that is detected at all three wavelengths. It features a long (approximately 450 pc) filamentary morphology that is clearly seen in both the optical and radio images. N7793-S26s radio luminosity exceeds that of the Galactic SNR Cas A, and based on equipartition calculations we determine that an energy of at least 10^52 ergs is required to maintain this source. A second optically identified SNR, N7793-S11, has detectable radio emission but is not detected in the X-ray. Complementary X-ray and radio searches for SNRs have yielded five new candidate radio SNRs, to be added to the 28 SNRs in this galaxy that have already been detected by optical methods. We find that the density of the ambient interstellar medium (ISM) surrounding these SNRs significantly impacts the spectral characteristics of SNRs in this galaxy, consistent with surveys of the SNR populations in other galaxies.