820879488576 has 189 divisors, whose sum is σ = 2737557855201. Its totient is φ = 234493507584.

The previous prime is 820879488553. The next prime is 820879488587. The reversal of 820879488576 is 675884978028.

The square root of 820879488576 is 906024.

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

820879488576 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 7 + 9 + 48 + 8 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 782375630400 + 38503858176 = 884520^2 + 196224^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 26 ways as a sum of consecutive naturals, for example, 152209336 + ... + 152214728.

Almost surely, 2^820879488576 is an apocalyptic number.

820879488576 is the 906024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820879488576

820879488576 is an abundant number, since it is smaller than the sum of its proper divisors (1916678366625).

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

820879488576 is an frugal number, since it uses more digits than its factorization.

820879488576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10818 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 820879488576 in words is "eight hundred twenty billion, eight hundred seventy-nine million, four hundred eighty-eight thousand, five hundred seventy-six".