|| LINEAR || — || align=right | 5.9 km || |-id=780 bgcolor=#d6d6d6 | 37780 || || — || April 30, 1997 || Socorro || LINEAR || HYG || align=right | 6.6 km || |-id=781 bgcolor=#d6d6d6 | 37781 || || — || April 30, 1997 || Socorro || LINEAR || — || align=right | 11 km || |-id=782 bgcolor=#d6d6d6 | 37782 Jacquespiccard || || || May 3, 1997 || La Silla || E. W. Elst || — || align=right | 6.1 km || |-id=783 bgcolor=#E9E9E9 | 37783 || || — || June 28, 1997 || Socorro || LINEAR || — || align=right | 4.2 km || |-id=784 bgcolor=#fefefe | 37784 || || — || September 23, 1997 || Farra d'Isonzo || Farra d'Isonzo || FLO || align=right | 1.8 km || |-id=785 bgcolor=#fefefe | 37785 Nougaro || || || September 27, 1997 || Caussols || ODAS || — || align=right | 2.0 km || |-id=786 bgcolor=#fefefe | 37786 Tokikonaruko || || || September 30, 1997 || Moriyama || Y. Ikari || FLO || align=right | 1.4 km || |-id=787 bgcolor=#fefefe | 37787 || || — || September 30, 1997 || Kitt Peak || Spacewatch || FLO || align=right | 1.7 km || |-id=788 bgcolor=#fefefe | 37788 Suchan || || || September 25, 1997 || Ondřejov || Ondřejov Obs. || NYS || align=right | 1.4 km || |-id=789 bgcolor=#C2FFFF | 37789 || || — || October 23, 1997 || Kitt Peak || Spacewatch || L4 || align=right | 15 km || |-id=790 bgcolor=#C2FFFF | 37790 || || — || October 27, 1997 || La Silla || UDTS || L4 || align=right | 13 km || |-id=791 bgcolor=#fefefe | 37791 || || — || November 7, 1997 || Prescott || P. G. Comba || — || align=right | 2.5 km || |-id=792 bgcolor=#fefefe | 37792 || || — || November 2, 1997 || Xinglong || SCAP || — || align=right | 1.8 km || |-id=793 bgcolor=#fefefe | 37793 || 1997 WE || — || November 18, 1997 || Oizumi || T. Kobayashi || — || align=right | 2.6 km || |-id=794 bgcolor=#fefefe | 37794 || || — || November 19, 1997 || Nachi-Katsuura || Y. Shimizu, T. Urata || — || align=right | 2.3 km || |-id=795 bgcolor=#fefefe | 37795 || || — || November 24, 1997 || Oizumi || T. Kobayashi || — || align=right | 2.1 km || |-id=796 bgcolor=#fefefe |