77816 has 16 divisors (see below), whose sum is σ = 149040. Its totient is φ = 38080.

The previous prime is 77813. The next prime is 77839. The reversal of 77816 is 61877.

It is a pancake number, because a pancake can be divided into 77816 parts by 394 straight cuts.

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 77816.

It is not an unprimeable number, because it can be changed into a prime (77813) 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 3 ways as a sum of consecutive naturals, for example, 500 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (9315).

2⁷⁷⁸¹⁶ is an apocalyptic number.

It is an amenable number.

77816 is a deficient number, since it is larger than the sum of its proper divisors (71224).

77816 is a wasteful number, since it uses less digits than its factorization.

77816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its digits is 2352, while the sum is 29.

The square root of 77816 is about 278.9551935347. The cubic root of 77816 is about 42.6929633899.

The spelling of 77816 in words is "seventy-seven thousand, eight hundred sixteen".