793313280000 has 600 divisors, whose sum is σ = 2874469133250. Its totient is φ = 210763776000.

The previous prime is 793313279989. The next prime is 793313280017. The reversal of 793313280000 is 82313397.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 18687983616 + 774625296384 = 136704^2 + 880128^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2949119866 + ... + 2949120134.

Almost surely, 2^793313280000 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 793313280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437234566625).

793313280000 is an abundant number, since it is smaller than the sum of its proper divisors (2081155853250).

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

793313280000 is an frugal number, since it uses more digits than its factorization.

793313280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 793313280000 its reverse (82313397), we get a palindrome (793395593397).

The spelling of 793313280000 in words is "seven hundred ninety-three billion, three hundred thirteen million, two hundred eighty thousand".