8772249600 has 216 divisors, whose sum is σ = 31418125830. Its totient is φ = 2339143680.

The previous prime is 8772249559. The next prime is 8772249637. The reversal of 8772249600 is 69422778.

It can be written as a sum of positive squares in 3 ways, for example, as 3463087104 + 5309162496 = 58848^2 + 72864^2 .

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 17 ways as a sum of consecutive naturals, for example, 451282 + ... + 470318.

Almost surely, 2^8772249600 is an apocalyptic number.

8772249600 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 8772249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709062915).

8772249600 is an abundant number, since it is smaller than the sum of its proper divisors (22645876230).

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

8772249600 is a wasteful number, since it uses less digits than its factorization.

8772249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19075 (or 19047 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8772249600 is about 93660.2882763020. The cubic root of 8772249600 is about 2062.3877801202.

The spelling of 8772249600 in words is "eight billion, seven hundred seventy-two million, two hundred forty-nine thousand, six hundred".