The decay channel J/psi ->gamma omega omega, omega ->pi(+)pi(-)pi(0) is analyzed using a sample of 5.8x10(7) J/psi events collected with the BESII detector. The omega omega invariant mass distribution peaks at 1.76 GeV/c(2), just above the omega omega threshold. Analysis of angular correlations indicates that the omega omega system below 2 GeV/c(2) is predominantly pseudoscalar. A partial wave analysis confirms the predominant pseudoscalar structure, together with small 0(++) and 2(++) contributions, and yields a pseudoscalar mass M=1744 +/- 10 (stat)+/- 15 (syst) MeV/c(2), a width Gamma=244(-...