807680821 has 2 divisors, whose sum is σ = 807680822. Its totient is φ = 807680820.

The previous prime is 807680773. The next prime is 807680843. The reversal of 807680821 is 128086708.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 755480196 + 52200625 = 27486^2 + 7225^2 .

It is a cyclic number.

It is not a de Polignac number, because 807680821 - 2¹⁷ = 807549749 is a prime.

It is a super-2 number, since 2×807680821² = 1304696617222468082, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (807680921) by changing a digit.

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 as a sum of consecutive naturals, namely, 403840410 + 403840411.

It is an arithmetic number, because the mean of its divisors is an integer number (403840411).

Almost surely, 2^807680821 is an apocalyptic number.

It is an amenable number.

807680821 is a deficient number, since it is larger than the sum of its proper divisors (1).

807680821 is an equidigital number, since it uses as much as digits as its factorization.

807680821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 807680821 is about 28419.7259135270. The cubic root of 807680821 is about 931.2792435241.

The spelling of 807680821 in words is "eight hundred seven million, six hundred eighty thousand, eight hundred twenty-one".