77808 has 20 divisors (see below), whose sum is σ = 201128. Its totient is φ = 25920.

The previous prime is 77801. The next prime is 77813. The reversal of 77808 is 80877.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77801) 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, 763 + ... + 858.

2⁷⁷⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

77808 is an abundant number, since it is smaller than the sum of its proper divisors (123320).

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 (100564).

77808 is a wasteful number, since it uses less digits than its factorization.

77808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 77808 is about 278.9408539458. The cubic root of 77808 is about 42.6915003000.

The spelling of 77808 in words is "seventy-seven thousand, eight hundred eight".