1. The problem asks for the characteristic (integer part of the logarithm base 10) of the number 87950000. 2. The characteristic of a positive number $N$ is the integer part of $\log_{10}(N)$. 3. To find the characteristic, express the number in scientific notation: $$87950000 = 8.795 \times 10^{7}$$ 4. The logarithm of the number is: $$\log_{10}(87950000) = \log_{10}(8.795 \times 10^{7}) = \log_{10}(8.795) + \log_{10}(10^{7})$$ 5. Since $\log_{10}(10^{7}) = 7$, and $\log_{10}(8.795)$ is approximately $0.944$, we have: $$\log_{10}(87950000) \approx 0.944 + 7 = 7.944$$ 6. The characteristic is the integer part of $7.944$, which is $7$. Final answer: The characteristic of 87950000 is $7$.