77671 has 8 divisors (see below), whose sum is σ = 88704. Its totient is φ = 67320.

The previous prime is 77659. The next prime is 77681. The reversal of 77671 is 17677.

77671 is nontrivially palindromic in base 3.

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

It is not a de Polignac number, because 77671 - 2⁷ = 77543 is a prime.

77671 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77611) 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, 100 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2⁷⁷⁶⁷¹ is an apocalyptic number.

77671 is a deficient number, since it is larger than the sum of its proper divisors (11033).

77671 is a wasteful number, since it uses less digits than its factorization.

77671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its digits is 2058, while the sum is 28.

The square root of 77671 is about 278.6951739805. The cubic root of 77671 is about 42.6664293064. Note that the first 3 decimals are identical.

The spelling of 77671 in words is "seventy-seven thousand, six hundred seventy-one".