76608 has 84 divisors (see below), whose sum is σ = 264160. Its totient is φ = 20736.

The previous prime is 76607. The next prime is 76631. The reversal of 76608 is 80667.

It is a tau number, because it is divible by the number of its divisors (84).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4023 + ... + 4041.

2⁷⁶⁶⁰⁸ 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 76608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132080).

76608 is an abundant number, since it is smaller than the sum of its proper divisors (187552).

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

76608 is a wasteful number, since it uses less digits than its factorization.

76608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76608 is about 276.7815022721. The cubic root of 76608 is about 42.4708912556.

The spelling of 76608 in words is "seventy-six thousand, six hundred eight".