813688027200 has 1008 divisors, whose sum is σ = 3193861454784. Its totient is φ = 203046912000.

The previous prime is 813688027189. The next prime is 813688027237. The reversal of 813688027200 is 2720886318.

813688027200 is a `hidden beast` number, since 8 + 1 + 368 + 80 + 2 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2029147000 + ... + 2029147400.

It is an arithmetic number, because the mean of its divisors is an integer number (3168513348).

Almost surely, 2^813688027200 is an apocalyptic number.

813688027200 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 813688027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596930727392).

813688027200 is an abundant number, since it is smaller than the sum of its proper divisors (2380173427584).

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

813688027200 is a wasteful number, since it uses less digits than its factorization.

813688027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 813688027200 in words is "eight hundred thirteen billion, six hundred eighty-eight million, twenty-seven thousand, two hundred".