68378000 has 80 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 27056000.

The previous prime is 68377993. The next prime is 68378021. The reversal of 68378000 is 87386.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357905 + ... + 358095.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^68378000 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 68378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

68378000 is an abundant number, since it is smaller than the sum of its proper divisors (98754160).

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

68378000 is a wasteful number, since it uses less digits than its factorization.

68378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 68378000 is about 8269.0991044974. The cubic root of 68378000 is about 408.9204197924.

The spelling of 68378000 in words is "sixty-eight million, three hundred seventy-eight thousand".