67880 has 16 divisors (see below), whose sum is σ = 152820. Its totient is φ = 27136.

The previous prime is 67867. The next prime is 67883. The reversal of 67880 is 8876.

67880 = T₈₄ + T₈₅ + ... + T₉₉.

It can be written as a sum of positive squares in 2 ways, for example, as 64516 + 3364 = 254^2 + 58^2 .

It is a plaindrome in base 11 and base 12.

It is not an unprimeable number, because it can be changed into a prime (67883) 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 3 ways as a sum of consecutive naturals, for example, 809 + ... + 888.

2⁶⁷⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

67880 is an abundant number, since it is smaller than the sum of its proper divisors (84940).

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 (76410).

67880 is a wasteful number, since it uses less digits than its factorization.

67880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 67880 is about 260.5379051117. The cubic root of 67880 is about 40.7925271460.

The spelling of 67880 in words is "sixty-seven thousand, eight hundred eighty".