978842880 has 252 divisors, whose sum is σ = 3518694900. Its totient is φ = 260775936.

The previous prime is 978842869. The next prime is 978842929. The reversal of 978842880 is 88248879.

978842880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 649638144 + 329204736 = 25488^2 + 18144^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 932596 + ... + 933644.

It is an arithmetic number, because the mean of its divisors is an integer number (13963075).

Almost surely, 2^978842880 is an apocalyptic number.

978842880 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 978842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759347450).

978842880 is an abundant number, since it is smaller than the sum of its proper divisors (2539852020).

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

978842880 is an equidigital number, since it uses as much as digits as its factorization.

978842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 978842880 is about 31286.4648050878. The cubic root of 978842880 is about 992.8972977270.

The spelling of 978842880 in words is "nine hundred seventy-eight million, eight hundred forty-two thousand, eight hundred eighty".