978745600 has 162 divisors, whose sum is σ = 2818969314. Its totient is φ = 335462400.

The previous prime is 978745591. The next prime is 978745619. The reversal of 978745600 is 6547879.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16257024 + 962488576 = 4032^2 + 31024^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 312040 + ... + 315160.

Almost surely, 2^978745600 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 978745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409484657).

978745600 is an abundant number, since it is smaller than the sum of its proper divisors (1840223714).

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

978745600 is a wasteful number, since it uses less digits than its factorization.

978745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 978745600 is about 31284.9101005581. The cubic root of 978745600 is about 992.8644043822.

The spelling of 978745600 in words is "nine hundred seventy-eight million, seven hundred forty-five thousand, six hundred".