7898227200 has 720 divisors, whose sum is σ = 31019119560. Its totient is φ = 1911029760.

The previous prime is 7898227199. The next prime is 7898227277. The reversal of 7898227200 is 27228987.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3491391744 + 4406835456 = 59088^2 + 66384^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

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 71 ways as a sum of consecutive naturals, for example, 72460746 + ... + 72460854.

Almost surely, 2^7898227200 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 7898227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15509559780).

7898227200 is an abundant number, since it is smaller than the sum of its proper divisors (23120892360).

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

7898227200 is a wasteful number, since it uses less digits than its factorization.

7898227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7898227200 is about 88871.9708344538. The cubic root of 7898227200 is about 1991.4827127321.

The spelling of 7898227200 in words is "seven billion, eight hundred ninety-eight million, two hundred twenty-seven thousand, two hundred".