67788 has 36 divisors (see below), whose sum is σ = 196560. Its totient is φ = 19296.

The previous prime is 67783. The next prime is 67789. The reversal of 67788 is 88776.

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).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (67783) by changing a digit.

67788 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, 118 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁶⁷⁷⁸⁸ 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 67788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

67788 is an abundant number, since it is smaller than the sum of its proper divisors (128772).

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

67788 is a wasteful number, since it uses less digits than its factorization.

67788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

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

The square root of 67788 is about 260.3612874450. The cubic root of 67788 is about 40.7740896620.

It can be divided in two parts, 6778 and 8, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 67788 in words is "sixty-seven thousand, seven hundred eighty-eight".