8795779200 has 768 divisors, whose sum is σ = 35697715200. Its totient is φ = 2101248000.

The previous prime is 8795779171. The next prime is 8795779217. The reversal of 8795779200 is 29775978.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46051105 + ... + 46051295.

It is an arithmetic number, because the mean of its divisors is an integer number (46481400).

Almost surely, 2^8795779200 is an apocalyptic number.

8795779200 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 8795779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17848857600).

8795779200 is an abundant number, since it is smaller than the sum of its proper divisors (26901936000).

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

8795779200 is a wasteful number, since it uses less digits than its factorization.

8795779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 8795779200 is about 93785.8155586440. The cubic root of 8795779200 is about 2064.2300987388.

The spelling of 8795779200 in words is "eight billion, seven hundred ninety-five million, seven hundred seventy-nine thousand, two hundred".