978861600 has 324 divisors, whose sum is σ = 3622350186. Its totient is φ = 248709120.

The previous prime is 978861557. The next prime is 978861601. The reversal of 978861600 is 6168879.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 938564496 + 40297104 = 30636^2 + 6348^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978861601) 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 53 ways as a sum of consecutive naturals, for example, 3808672 + ... + 3808928.

Almost surely, 2^978861600 is an apocalyptic number.

978861600 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 978861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811175093).

978861600 is an abundant number, since it is smaller than the sum of its proper divisors (2643488586).

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

978861600 is a wasteful number, since it uses less digits than its factorization.

978861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 978861600 is about 31286.7639745628. The cubic root of 978861600 is about 992.9036272818.

The spelling of 978861600 in words is "nine hundred seventy-eight million, eight hundred sixty-one thousand, six hundred".