978009120 has 288 divisors, whose sum is σ = 3764517120. Its totient is φ = 236966400.

The previous prime is 978009119. The next prime is 978009127. The reversal of 978009120 is 21900879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (978009127) 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 47 ways as a sum of consecutive naturals, for example, 521785 + ... + 523655.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^978009120 is an apocalyptic number.

978009120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882258560).

978009120 is an abundant number, since it is smaller than the sum of its proper divisors (2786508000).

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

978009120 is a wasteful number, since it uses less digits than its factorization.

978009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 978009120 is about 31273.1373546052. The cubic root of 978009120 is about 992.6153072173.

Adding to 978009120 its reverse (21900879), we get a palindrome (999909999).

Subtracting from 978009120 its reverse (21900879), we obtain a square (956108241 = 30921²).

The spelling of 978009120 in words is "nine hundred seventy-eight million, nine thousand, one hundred twenty".