67776 has 28 divisors (see below), whose sum is σ = 179832. Its totient is φ = 22528.

The previous prime is 67763. The next prime is 67777.

It is a happy number.

67776 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (67777) 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, 16 + ... + 368.

2⁶⁷⁷⁷⁶ 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 67776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89916).

67776 is an abundant number, since it is smaller than the sum of its proper divisors (112056).

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

67776 is a wasteful number, since it uses less digits than its factorization.

67776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its digits is 12348, while the sum is 33.

The square root of 67776 is about 260.3382415244. The cubic root of 67776 is about 40.7716835431.

It can be divided in two parts, 6 and 7776, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 67776 in words is "sixty-seven thousand, seven hundred seventy-six".