76727 has 8 divisors (see below), whose sum is σ = 89376. Its totient is φ = 64512.

The previous prime is 76717. The next prime is 76733. The reversal of 76727 is 72767.

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

It is not a de Polignac number, because 76727 - 2⁸ = 76471 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 76727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76717) 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, 623 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2⁷⁶⁷²⁷ is an apocalyptic number.

76727 is a deficient number, since it is larger than the sum of its proper divisors (12649).

76727 is a wasteful number, since it uses less digits than its factorization.

76727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its digits is 4116, while the sum is 29.

The square root of 76727 is about 276.9963898682. The cubic root of 76727 is about 42.4928707765.

It can be divided in two parts, 7 and 6727, that multiplied together give a square (47089 = 217²).

The spelling of 76727 in words is "seventy-six thousand, seven hundred twenty-seven".