820287080 has 32 divisors (see below), whose sum is σ = 1849797000. Its totient is φ = 327376896.

The previous prime is 820287079. The next prime is 820287107. The reversal of 820287080 is 80782028.

It can be written as a sum of positive squares in 4 ways, for example, as 803949316 + 16337764 = 28354^2 + 4042^2 .

It is a super-2 number, since 2×820287080² = 1345741787229852800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 820287080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4877 + ... + 40796.

Almost surely, 2^820287080 is an apocalyptic number.

It is an amenable number.

820287080 is an abundant number, since it is smaller than the sum of its proper divisors (1029509920).

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

820287080 is a wasteful number, since it uses less digits than its factorization.

820287080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46133 (or 46129 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 820287080 is about 28640.6543221345. The cubic root of 820287080 is about 936.0993788606.

The spelling of 820287080 in words is "eight hundred twenty million, two hundred eighty-seven thousand, eighty".