808321761 has 45 divisors (see below), whose sum is σ = 1312924899. Its totient is φ = 497428776.

The previous prime is 808321753. The next prime is 808321777. The reversal of 808321761 is 167123808.

The square root of 808321761 is 28431.

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

It can be written as a sum of positive squares in only one way, i.e., 119574225 + 688747536 = 10935^2 + 26244^2 .

It is not a de Polignac number, because 808321761 - 2³ = 808321753 is a prime.

It is a super-2 number, since 2×808321761² = 1306768138612282242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (808321711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 62178591 + ... + 62178603.

Almost surely, 2^808321761 is an apocalyptic number.

808321761 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

808321761 is the 28431-st square number.

808321761 is the 14216-th centered octagonal number.

It is an amenable number.

808321761 is a deficient number, since it is larger than the sum of its proper divisors (504603138).

808321761 is an frugal number, since it uses more digits than its factorization.

808321761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 808321761 is about 931.5255191496.

Multiplying 808321761 by its sum of digits (36), we get a square (29099583396 = 170586²).

The spelling of 808321761 in words is "eight hundred eight million, three hundred twenty-one thousand, seven hundred sixty-one".