7997010120 has 640 divisors, whose sum is σ = 31670559360. Its totient is φ = 1788272640.

The previous prime is 7997010071. The next prime is 7997010121. The reversal of 7997010120 is 210107997.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7997010121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40593862 + ... + 40594058.

It is an arithmetic number, because the mean of its divisors is an integer number (49485249).

Almost surely, 2^7997010120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7997010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15835279680).

7997010120 is an abundant number, since it is smaller than the sum of its proper divisors (23673549240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7997010120 is a wasteful number, since it uses less digits than its factorization.

7997010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 7997010120 is about 89426.0036007424. The cubic root of 7997010120 is about 1999.7508122874.

The spelling of 7997010120 in words is "seven billion, nine hundred ninety-seven million, ten thousand, one hundred twenty".