67760 has 60 divisors (see below), whose sum is σ = 197904. Its totient is φ = 21120.

The previous prime is 67759. The next prime is 67763. The reversal of 67760 is 6776.

It is a super-3 number, since 3×67760³ = 933343369728000, which contains 333 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (67763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6155 + ... + 6165.

2⁶⁷⁷⁶⁰ 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 67760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952).

67760 is an abundant number, since it is smaller than the sum of its proper divisors (130144).

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

67760 is a wasteful number, since it uses less digits than its factorization.

67760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 67760 is about 260.3075104564. The cubic root of 67760 is about 40.7684749429.

It can be divided in two parts, 677 and 60, that added together give a palindrome (737).

The spelling of 67760 in words is "sixty-seven thousand, seven hundred sixty".