67764 has 12 divisors (see below), whose sum is σ = 158144. Its totient is φ = 22584.

The previous prime is 67763. The next prime is 67777. The reversal of 67764 is 46776.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67764.

It is not an unprimeable number, because it can be changed into a prime (67763) 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, 2812 + ... + 2835.

2⁶⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

67764 is an abundant number, since it is smaller than the sum of its proper divisors (90380).

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 (79072).

67764 is a wasteful number, since it uses less digits than its factorization.

67764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654 (or 5652 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 67764 is about 260.3151935635. The cubic root of 67764 is about 40.7692771403.

It can be divided in two parts, 677 and 64, that added together give a triangular number (741 = T₃₈).

The spelling of 67764 in words is "sixty-seven thousand, seven hundred sixty-four".