96378000 has 80 divisors (see below), whose sum is σ = 310742016. Its totient is φ = 25699200.

The previous prime is 96377999. The next prime is 96378019. The reversal of 96378000 is 87369.

It is a happy number.

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

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, 2032 + ... + 14031.

Almost surely, 2^96378000 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 96378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155371008).

96378000 is an abundant number, since it is smaller than the sum of its proper divisors (214364016).

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

96378000 is a wasteful number, since it uses less digits than its factorization.

96378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16089 (or 16073 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 96378000 is about 9817.2297518190. The cubic root of 96378000 is about 458.4858849400.

The spelling of 96378000 in words is "ninety-six million, three hundred seventy-eight thousand".