  Kawasaki's formula is a tool to compute holomorphic Euler characteristics of
vector bundles on a compact orbifold X. Let X be an orbispace with perfect
obstruction theory which admits an embedding in a smooth orbifold. One can then
construct the virtual structure sheaf and the virtual fundamental class of X.
In this paper we prove that Kawasaki's formula behaves well " with working
virtually" on X in the following sense: if we replace the structure sheaves,
tangent and normal bundles in the formula by their virtual counterparts then
Kawasaki's formula stays true. Our motivation comes from studying the quantum
K-theory of a complex manifold X, with the formula applied to Kontsevich'
moduli spaces of genus 0 stable maps to X.
