76788 has 36 divisors (see below), whose sum is σ = 203840. Its totient is φ = 25272.

The previous prime is 76781. The next prime is 76801. The reversal of 76788 is 88767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18816) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76781) by changing a digit.

76788 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 11 ways as a sum of consecutive naturals, for example, 933 + ... + 1011.

2⁷⁶⁷⁸⁸ 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 76788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101920).

76788 is an abundant number, since it is smaller than the sum of its proper divisors (127052).

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

76788 is a wasteful number, since it uses less digits than its factorization.

76788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 76788 is about 277.1064777301. The cubic root of 76788 is about 42.5041287800.

The spelling of 76788 in words is "seventy-six thousand, seven hundred eighty-eight".