812976161760 has 864 divisors, whose sum is σ = 3406103719200. Its totient is φ = 175575859200.

The previous prime is 812976161749. The next prime is 812976161783. The reversal of 812976161760 is 67161679218.

812976161760 is a `hidden beast` number, since 8 + 1 + 2 + 9 + 7 + 616 + 17 + 6 + 0 = 666.

812976161760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 812976161697 and 812976161706.

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, 805724136 + ... + 805725144.

It is an arithmetic number, because the mean of its divisors is an integer number (3942249675).

Almost surely, 2^812976161760 is an apocalyptic number.

812976161760 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 812976161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703051859600).

812976161760 is an abundant number, since it is smaller than the sum of its proper divisors (2593127557440).

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

812976161760 is a wasteful number, since it uses less digits than its factorization.

812976161760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 812976161760 in words is "eight hundred twelve billion, nine hundred seventy-six million, one hundred sixty-one thousand, seven hundred sixty".