813068917760 has 352 divisors, whose sum is σ = 2158847817984. Its totient is φ = 291373056000.

The previous prime is 813068917747. The next prime is 813068917807. The reversal of 813068917760 is 67719860318.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×813068917760² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813068917696 and 813068917705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1423938275 + ... + 1423938845.

It is an arithmetic number, because the mean of its divisors is an integer number (6133090392).

Almost surely, 2^813068917760 is an apocalyptic number.

813068917760 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 813068917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079423908992).

813068917760 is an abundant number, since it is smaller than the sum of its proper divisors (1345778900224).

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

813068917760 is a wasteful number, since it uses less digits than its factorization.

813068917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 56.

The spelling of 813068917760 in words is "eight hundred thirteen billion, sixty-eight million, nine hundred seventeen thousand, seven hundred sixty".