67800320 has 216 divisors, whose sum is σ = 201325824. Its totient is φ = 21762048.

The previous prime is 67800311. The next prime is 67800323. The reversal of 67800320 is 2300876.

It is a self number, because there is not a number n which added to its sum of digits gives 67800320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67800323) 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 23 ways as a sum of consecutive naturals, for example, 1442537 + ... + 1442583.

It is an arithmetic number, because the mean of its divisors is an integer number (932064).

Almost surely, 2^67800320 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 67800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100662912).

67800320 is an abundant number, since it is smaller than the sum of its proper divisors (133525504).

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

67800320 is a wasteful number, since it uses less digits than its factorization.

67800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 67800320 is about 8234.0949715193. The cubic root of 67800320 is about 407.7655964857.

The spelling of 67800320 in words is "sixty-seven million, eight hundred thousand, three hundred twenty".