978112800 has 288 divisors, whose sum is σ = 4043491200. Its totient is φ = 223534080.

The previous prime is 978112781. The next prime is 978112801. The reversal of 978112800 is 8211879.

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 (978112801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147966 + ... + 154434.

It is an arithmetic number, because the mean of its divisors is an integer number (14039900).

Almost surely, 2^978112800 is an apocalyptic number.

978112800 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 978112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021745600).

978112800 is an abundant number, since it is smaller than the sum of its proper divisors (3065378400).

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

978112800 is a wasteful number, since it uses less digits than its factorization.

978112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 978112800 is about 31274.7949633567. The cubic root of 978112800 is about 992.6503821181.

The spelling of 978112800 in words is "nine hundred seventy-eight million, one hundred twelve thousand, eight hundred".