67770 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 18000.

The previous prime is 67763. The next prime is 67777. The reversal of 67770 is 7776.

It is an interprime number because it is at equal distance from previous prime (67763) and next prime (67777).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67770.

It is not an unprimeable number, because it can be changed into a prime (67777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁶⁷⁷⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

67770 is an abundant number, since it is smaller than the sum of its proper divisors (113670).

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

67770 is a wasteful number, since it uses less digits than its factorization.

67770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 67770 is about 260.3267177990. The cubic root of 67770 is about 40.7704803772.

It can be divided in two parts, 677 and 70, that added together give a palindrome (747).

The spelling of 67770 in words is "sixty-seven thousand, seven hundred seventy".