76671 has 12 divisors (see below), whose sum is σ = 126672. Its totient is φ = 43776.

The previous prime is 76667. The next prime is 76673. The reversal of 76671 is 17667.

It is not a de Polignac number, because 76671 - 2² = 76667 is a prime.

76671 is a lucky number.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

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 76671.

It is not an unprimeable number, because it can be changed into a prime (76673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (10556).

2⁷⁶⁶⁷¹ is an apocalyptic number.

76671 is a deficient number, since it is larger than the sum of its proper divisors (50001).

76671 is a wasteful number, since it uses less digits than its factorization.

76671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1227 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 76671 is about 276.8952870672. The cubic root of 76671 is about 42.4825303056.

It can be divided in two parts, 76 and 671, that added together give a palindrome (747).

The spelling of 76671 in words is "seventy-six thousand, six hundred seventy-one".