807327 has 10 divisors (see below), whose sum is σ = 1206128. Its totient is φ = 538164.

The previous prime is 807299. The next prime is 807337. The reversal of 807327 is 723708.

It is not a de Polignac number, because 807327 - 2⁸ = 807071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

807327 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 807327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807337) 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 9 ways as a sum of consecutive naturals, for example, 4903 + ... + 5064.

2⁸⁰⁷³²⁷ is an apocalyptic number.

807327 is a deficient number, since it is larger than the sum of its proper divisors (398801).

807327 is an equidigital number, since it uses as much as digits as its factorization.

807327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 807327 is about 898.5137728494. The cubic root of 807327 is about 93.1143235061.

It can be divided in two parts, 8073 and 27, that added together give a square (8100 = 90²).

The spelling of 807327 in words is "eight hundred seven thousand, three hundred twenty-seven".