820768768832 has 14 divisors (see below), whose sum is σ = 1628713025778. Its totient is φ = 410384384384.

The previous prime is 820768768783. The next prime is 820768768847. The reversal of 820768768832 is 238867867028.

It can be written as a sum of positive squares in only one way, i.e., 811051541056 + 9717227776 = 900584^2 + 98576^2 .

It is a super-2 number, since 2×820768768832² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6412255943 + ... + 6412256070.

Almost surely, 2^820768768832 is an apocalyptic number.

It is an amenable number.

820768768832 is a deficient number, since it is larger than the sum of its proper divisors (807944256946).

820768768832 is a wasteful number, since it uses less digits than its factorization.

820768768832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12824512025 (or 12824512015 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 65.

The spelling of 820768768832 in words is "eight hundred twenty billion, seven hundred sixty-eight million, seven hundred sixty-eight thousand, eight hundred thirty-two".