978120000 has 840 divisors, whose sum is σ = 4332488160. Its totient is φ = 207360000.

The previous prime is 978119983. The next prime is 978120001. The reversal of 978120000 is 21879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51479991 + ... + 51480009.

It is an arithmetic number, because the mean of its divisors is an integer number (5157724).

Almost surely, 2^978120000 is an apocalyptic number.

978120000 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 978120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166244080).

978120000 is an abundant number, since it is smaller than the sum of its proper divisors (3354368160).

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

978120000 is a wasteful number, since it uses less digits than its factorization.

978120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 978120000 is about 31274.9100718132. The cubic root of 978120000 is about 992.6528177831.

Adding to 978120000 its reverse (21879), we get a palindrome (978141879).

The spelling of 978120000 in words is "nine hundred seventy-eight million, one hundred twenty thousand".