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The neutron-deficient region around 80 Zr is an area of great interest for nuclear structure due to the rapid change in nuclear shape with proton and neutron numbers. For the self-conjugate 80 Zr nucleus, spherical and deformed structures are expected to coexist at low energies, and their competition strongly depends on the size of the calculated N= Z= 40 gap. In addition to shape-coexistence effects, 80 Zr offers a venue to study the Wigner energy reflecting an additional binding in self-conjugate nuclei and their neighbors. Mass differences can be used to probe the strength of these effects; however, mass data in the region is sparse. In this talk, I will present results from the first Penning trap mass measurement of 80 Zr using the Low Energy Beam and Ion Trap (LEBIT) facility at the National Superconducting Cyclotron Laboratory. Our measurement reveals a significant enhancement in the binding energy of 80 Zr …