793097330145120 has 5760 divisors, whose sum is σ = 4038381107228160. Its totient is φ = 143691283169280.

The previous prime is 793097330145119. The next prime is 793097330145157. The reversal of 793097330145120 is 21541033790397.

793097330145120 is a `hidden beast` number, since 7 + 9 + 3 + 0 + 97 + 3 + 30 + 1 + 4 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1161196676299 + ... + 1161196676981.

It is an arithmetic number, because the mean of its divisors is an integer number (701107831116).

Almost surely, 2^{793097330145120} is an apocalyptic number.

793097330145120 is a gapful number since it is divisible by the number (70) 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 793097330145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019190553614080).

793097330145120 is an abundant number, since it is smaller than the sum of its proper divisors (3245283777083040).

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

793097330145120 is a wasteful number, since it uses less digits than its factorization.

793097330145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 793097330145120 in words is "seven hundred ninety-three trillion, ninety-seven billion, three hundred thirty million, one hundred forty-five thousand, one hundred twenty".