77116 has 12 divisors (see below), whose sum is σ = 145432. Its totient is φ = 35568.

The previous prime is 77101. The next prime is 77137. The reversal of 77116 is 61177.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 690 + ... + 793.

2⁷⁷¹¹⁶ is an apocalyptic number.

It is an amenable number.

77116 is a deficient number, since it is larger than the sum of its proper divisors (68316).

77116 is a wasteful number, since it uses less digits than its factorization.

77116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1498 counting only the distinct ones).

The product of its digits is 294, while the sum is 22.

The square root of 77116 is about 277.6976773399. The cubic root of 77116 is about 42.5645616212.

It can be divided in two parts, 771 and 16, that added together give a palindrome (787).

The spelling of 77116 in words is "seventy-seven thousand, one hundred sixteen".