77208 has 16 divisors (see below), whose sum is σ = 193080. Its totient is φ = 25728.

The previous prime is 77201. The next prime is 77213. The reversal of 77208 is 80277.

It is a super-2 number, since 2×77208² = 11922150528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3217 = 77208 / (7 + 7 + 2 + 0 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1585 + ... + 1632.

2⁷⁷²⁰⁸ is an apocalyptic number.

It is an amenable number.

77208 is an abundant number, since it is smaller than the sum of its proper divisors (115872).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96540).

77208 is a wasteful number, since it uses less digits than its factorization.

77208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 77208 is about 277.8632757311. The cubic root of 77208 is about 42.5814815144.

The spelling of 77208 in words is "seventy-seven thousand, two hundred eight".