80767 has 4 divisors (see below), whose sum is σ = 85536. Its totient is φ = 76000.

The previous prime is 80761. The next prime is 80777. The reversal of 80767 is 76708.

80767 is nontrivially palindromic in base 11.

80767 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-80767 is a prime.

It is a Duffinian number.

80767 is a lucky number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80761) 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 in 3 ways as a sum of consecutive naturals, for example, 2359 + ... + 2392.

It is an arithmetic number, because the mean of its divisors is an integer number (21384).

2⁸⁰⁷⁶⁷ is an apocalyptic number.

80767 is a deficient number, since it is larger than the sum of its proper divisors (4769).

80767 is a wasteful number, since it uses less digits than its factorization.

80767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 80767 is about 284.1953553456. The cubic root of 80767 is about 43.2259603338.

The spelling of 80767 in words is "eighty thousand, seven hundred sixty-seven".