77316 has 24 divisors (see below), whose sum is σ = 191520. Its totient is φ = 24192.

The previous prime is 77291. The next prime is 77317. The reversal of 77316 is 61377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77317) by changing a digit.

77316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁷⁷³¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

77316 is an abundant number, since it is smaller than the sum of its proper divisors (114204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77316 is a wasteful number, since it uses less digits than its factorization.

77316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

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

The square root of 77316 is about 278.0575480004. The cubic root of 77316 is about 42.6013268559.

It can be divided in two parts, 77 and 316, that added together give a palindrome (393).

The spelling of 77316 in words is "seventy-seven thousand, three hundred sixteen".