8770225200 has 720 divisors, whose sum is σ = 34553562240. Its totient is φ = 1895731200.

The previous prime is 8770225103. The next prime is 8770225231. The reversal of 8770225200 is 25220778.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 143 ways as a sum of consecutive naturals, for example, 461590791 + ... + 461590809.

Almost surely, 2^8770225200 is an apocalyptic number.

8770225200 is a gapful number since it is divisible by the number (80) 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 8770225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276781120).

8770225200 is an abundant number, since it is smaller than the sum of its proper divisors (25783337040).

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

8770225200 is a wasteful number, since it uses less digits than its factorization.

8770225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 8770225200 is about 93649.4805111059. The cubic root of 8770225200 is about 2062.2291199809.

Adding to 8770225200 its reverse (25220778), we get a palindrome (8795445978).

The spelling of 8770225200 in words is "eight billion, seven hundred seventy million, two hundred twenty-five thousand, two hundred".