9978000 has 80 divisors (see below), whose sum is σ = 32188416. Its totient is φ = 2659200.

The previous prime is 9977999. The next prime is 9978037. The reversal of 9978000 is 8799.

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, 5169 + ... + 6831.

Almost surely, 2^9978000 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 9978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094208).

9978000 is an abundant number, since it is smaller than the sum of its proper divisors (22210416).

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

9978000 is a wasteful number, since it uses less digits than its factorization.

9978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 9978000 is about 3158.7972394568. The cubic root of 9978000 is about 215.2853611234.

The spelling of 9978000 in words is "nine million, nine hundred seventy-eight thousand".