793316229120 has 748 divisors, whose sum is σ = 2925556624116. Its totient is φ = 206391214080.

The previous prime is 793316229109. The next prime is 793316229143. The reversal of 793316229120 is 21922613397.

793316229120 is a `hidden beast` number, since 7 + 9 + 3 + 3 + 1 + 622 + 9 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139314069504 + 654002159616 = 373248^2 + 808704^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 19349176300 + ... + 19349176340.

Almost surely, 2^793316229120 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 793316229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462778312058).

793316229120 is an abundant number, since it is smaller than the sum of its proper divisors (2132240394996).

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

793316229120 is an frugal number, since it uses more digits than its factorization.

793316229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 793316229120 in words is "seven hundred ninety-three billion, three hundred sixteen million, two hundred twenty-nine thousand, one hundred twenty".