77088 has 48 divisors (see below), whose sum is σ = 223776. Its totient is φ = 23040.

The previous prime is 77081. The next prime is 77093. The reversal of 77088 is 88077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (77081) by changing a digit.

77088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1020 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (4662).

2⁷⁷⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888).

77088 is an abundant number, since it is smaller than the sum of its proper divisors (146688).

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

77088 is a wasteful number, since it uses less digits than its factorization.

77088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

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

The square root of 77088 is about 277.6472582253. The cubic root of 77088 is about 42.5594094176.

It can be divided in two parts, 770 and 88, that added together give a palindrome (858).

The spelling of 77088 in words is "seventy-seven thousand, eighty-eight".