77216 has 24 divisors (see below), whose sum is σ = 161280. Its totient is φ = 36288.

The previous prime is 77213. The next prime is 77237. The reversal of 77216 is 61277.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77191 and 77200.

It is not an unprimeable number, because it can be changed into a prime (77213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 545 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2⁷⁷²¹⁶ is an apocalyptic number.

77216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

77216 is an abundant number, since it is smaller than the sum of its proper divisors (84064).

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

77216 is a wasteful number, since it uses less digits than its factorization.

77216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its digits is 588, while the sum is 23.

The square root of 77216 is about 277.8776709273. The cubic root of 77216 is about 42.5829521741.

The spelling of 77216 in words is "seventy-seven thousand, two hundred sixteen".