820280576 has 36 divisors (see below), whose sum is σ = 1668278052. Its totient is φ = 402395136.

The previous prime is 820280557. The next prime is 820280581. The reversal of 820280576 is 675082028.

It can be written as a sum of positive squares in 2 ways, for example, as 586802176 + 233478400 = 24224^2 + 15280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16661 + ... + 43796.

It is an arithmetic number, because the mean of its divisors is an integer number (46341057).

Almost surely, 2^820280576 is an apocalyptic number.

It is an amenable number.

820280576 is an abundant number, since it is smaller than the sum of its proper divisors (847997476).

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

820280576 is an equidigital number, since it uses as much as digits as its factorization.

820280576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60526 (or 60512 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 820280576 is about 28640.5407770175. The cubic root of 820280576 is about 936.0969047648.

The spelling of 820280576 in words is "eight hundred twenty million, two hundred eighty thousand, five hundred seventy-six".