  In this paper, we prove that the Todd genus of a compact complex manifold $X$
of complex dimension $n$ with vanishing odd degree cohomology is one if the
automorphism group of $X$ contains a compact $n$-dimensional torus $\Tn$ as a
subgroup. This implies that if a quasitoric manifold admits an invariant
complex structure, then it is equivariantly homeomorphic to a compact smooth
toric variety, which gives a negative answer to a problem posed by
Buchstaber-Panov.
