76713 has 16 divisors (see below), whose sum is σ = 126336. Its totient is φ = 40320.

The previous prime is 76697. The next prime is 76717. The reversal of 76713 is 31767.

76713 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 76713 - 2⁴ = 76697 is a prime.

It is an Ulam number.

It is a Curzon number.

76713 is a lucky number.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (7896).

2⁷⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

76713 is a deficient number, since it is larger than the sum of its proper divisors (49623).

76713 is a wasteful number, since it uses less digits than its factorization.

76713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its digits is 882, while the sum is 24.

The square root of 76713 is about 276.9711176278. The cubic root of 76713 is about 42.4902861306.

It can be divided in two parts, 767 and 13, that added together give a triangular number (780 = T₃₉).

The spelling of 76713 in words is "seventy-six thousand, seven hundred thirteen".