8073969120 has 864 divisors, whose sum is σ = 34848672768. Its totient is φ = 1690730496.

The previous prime is 8073969077. The next prime is 8073969187. The reversal of 8073969120 is 219693708.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63574497 + ... + 63574623.

It is an arithmetic number, because the mean of its divisors is an integer number (40334112).

Almost surely, 2^8073969120 is an apocalyptic number.

8073969120 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 8073969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424336384).

8073969120 is an abundant number, since it is smaller than the sum of its proper divisors (26774703648).

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

8073969120 is a wasteful number, since it uses less digits than its factorization.

8073969120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 8073969120 is about 89855.2676252205. The cubic root of 8073969120 is about 2006.1451923005.

The spelling of 8073969120 in words is "eight billion, seventy-three million, nine hundred sixty-nine thousand, one hundred twenty".