67378000 has 80 divisors (see below), whose sum is σ = 165971520. Its totient is φ = 26448000.

The previous prime is 67377979. The next prime is 67378013. The reversal of 67378000 is 87376.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117715 + ... + 118285.

It is an arithmetic number, because the mean of its divisors is an integer number (2074644).

Almost surely, 2^67378000 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 67378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82985760).

67378000 is an abundant number, since it is smaller than the sum of its proper divisors (98593520).

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

67378000 is a wasteful number, since it uses less digits than its factorization.

67378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 67378000 is about 8208.4103211280. The cubic root of 67378000 is about 406.9171916279.

The spelling of 67378000 in words is "sixty-seven million, three hundred seventy-eight thousand".