820975904892 has 192 divisors, whose sum is σ = 2505369592320. Its totient is φ = 229202265600.

The previous prime is 820975904873. The next prime is 820975904899. The reversal of 820975904892 is 298409579028.

It is a happy number.

820975904892 is a `hidden beast` number, since 82 + 0 + 9 + 75 + 9 + 0 + 489 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820975904899) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8026392 + ... + 8128032.

It is an arithmetic number, because the mean of its divisors is an integer number (13048799960).

Almost surely, 2^820975904892 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 820975904892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252684796160).

820975904892 is an abundant number, since it is smaller than the sum of its proper divisors (1684393687428).

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

820975904892 is a wasteful number, since it uses less digits than its factorization.

820975904892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102201 (or 102193 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 820975904892 in words is "eight hundred twenty billion, nine hundred seventy-five million, nine hundred four thousand, eight hundred ninety-two".