8050963200 has 432 divisors, whose sum is σ = 31205502720. Its totient is φ = 1789378560.

The previous prime is 8050963189. The next prime is 8050963211. The reversal of 8050963200 is 23690508.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8050963189) and next prime (8050963211).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4971991 + ... + 4973609.

It is an arithmetic number, because the mean of its divisors is an integer number (72234960).

Almost surely, 2^8050963200 is an apocalyptic number.

8050963200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8050963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602751360).

8050963200 is an abundant number, since it is smaller than the sum of its proper divisors (23154539520).

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

8050963200 is a wasteful number, since it uses less digits than its factorization.

8050963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 8050963200 is about 89727.1597678206. The cubic root of 8050963200 is about 2004.2379468935.

The spelling of 8050963200 in words is "eight billion, fifty million, nine hundred sixty-three thousand, two hundred".