80727 has 8 divisors (see below), whose sum is σ = 109440. Its totient is φ = 52920.

The previous prime is 80713. The next prime is 80737. The reversal of 80727 is 72708.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 80727 - 2⁷ = 80599 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 80697 and 80706.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80727.

It is not an unprimeable number, because it can be changed into a prime (80737) 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 7 ways as a sum of consecutive naturals, for example, 24 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2⁸⁰⁷²⁷ is an apocalyptic number.

80727 is a deficient number, since it is larger than the sum of its proper divisors (28713).

80727 is a wasteful number, since it uses less digits than its factorization.

80727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 80727 is about 284.1249725033. The cubic root of 80727 is about 43.2188232443.

The spelling of 80727 in words is "eighty thousand, seven hundred twenty-seven".