99978000 has 160 divisors (see below), whose sum is σ = 339680640. Its totient is φ = 25228800.

The previous prime is 99977989. The next prime is 99978001. The reversal of 99978000 is 87999.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99978001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113562 + ... + 114438.

It is an arithmetic number, because the mean of its divisors is an integer number (2123004).

Almost surely, 2^99978000 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 99978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169840320).

99978000 is an abundant number, since it is smaller than the sum of its proper divisors (239702640).

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

99978000 is a wasteful number, since it uses less digits than its factorization.

99978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 99978000 is about 9998.8999394933. The cubic root of 99978000 is about 464.1248425467.

The spelling of 99978000 in words is "ninety-nine million, nine hundred seventy-eight thousand".