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We report results of the spectral and timing analysis of the Be/X-ray pulsarSXP 4.78 using the data obtained during its recent outburst with NuSTAR, Swift,Chandra and NICER observatories. Using an overall evolution of the systemluminosity, spectral analysis and variability power spectrum we obtainconstraints on the neutron star magnetic field strength. We found a rapidevolution of the variability power spectrum during the rise of the outburst,and absence of the significant changes during the flux decay. Several lowfrequency quasi-periodic oscillation features are found to emerge on thedifferent stages of the outburst, but no clear clues on their origin were foundin the energy spectrum and overall flux behaviour. We use several indirectmethods to estimate the magnetic field strength on the neutron star surface andfound that most of them suggest magnetic field $B \lesssim 2 \times10^{12}$ G.The strictest upper limit comes from the absence of the cyclotron absorptionfeatures in the energy spectra and suggests relatively weak magnetic field $B <6 \times 10^{11}$ G.

Observational constraints on the magnetic field of the bright transient Be/X-ray pulsar SXP 4.78