978727200 has 288 divisors, whose sum is σ = 3514275072. Its totient is φ = 234624000.

The previous prime is 978727193. The next prime is 978727207. The reversal of 978727200 is 2727879.

It is an interprime number because it is at equal distance from previous prime (978727193) and next prime (978727207).

It is not an unprimeable number, because it can be changed into a prime (978727207) 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, 3458259 + ... + 3458541.

It is an arithmetic number, because the mean of its divisors is an integer number (12202344).

Almost surely, 2^978727200 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 978727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757137536).

978727200 is an abundant number, since it is smaller than the sum of its proper divisors (2535547872).

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

978727200 is a wasteful number, since it uses less digits than its factorization.

978727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 978727200 is about 31284.6160276900. The cubic root of 978727200 is about 992.8581825341.

The spelling of 978727200 in words is "nine hundred seventy-eight million, seven hundred twenty-seven thousand, two hundred".