8287772800 has 192 divisors, whose sum is σ = 21149037000. Its totient is φ = 3207168000.

The previous prime is 8287772797. The next prime is 8287772803. The reversal of 8287772800 is 82777828.

It is an interprime number because it is at equal distance from previous prime (8287772797) and next prime (8287772803).

It can be written as a sum of positive squares in 12 ways, for example, as 505710144 + 7782062656 = 22488^2 + 88216^2 .

It is not an unprimeable number, because it can be changed into a prime (8287772803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23747026 + ... + 23747374.

Almost surely, 2^8287772800 is an apocalyptic number.

8287772800 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 8287772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574518500).

8287772800 is an abundant number, since it is smaller than the sum of its proper divisors (12861264200).

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

8287772800 is a wasteful number, since it uses less digits than its factorization.

8287772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 49.

The square root of 8287772800 is about 91037.2055810151. The cubic root of 8287772800 is about 2023.6991329982.

The spelling of 8287772800 in words is "eight billion, two hundred eighty-seven million, seven hundred seventy-two thousand, eight hundred".