820575092736 has 405 divisors, whose sum is σ = 2765701485729. Its totient is φ = 233754329088.

The previous prime is 820575092723. The next prime is 820575092741. The reversal of 820575092736 is 637290575028.

The square root of 820575092736 is 905856.

It is a perfect power (a square), and thus also a powerful number.

820575092736 is a `hidden beast` number, since 82 + 0 + 5 + 7 + 509 + 27 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 221276160000 + 599298932736 = 470400^2 + 774144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2434940760 + ... + 2434941096.

Almost surely, 2^820575092736 is an apocalyptic number.

820575092736 is the 905856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820575092736

820575092736 is an abundant number, since it is smaller than the sum of its proper divisors (1945126392993).

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

820575092736 is an frugal number, since it uses more digits than its factorization.

820575092736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 820575092736 in words is "eight hundred twenty billion, five hundred seventy-five million, ninety-two thousand, seven hundred thirty-six".