8812800000 has 720 divisors, whose sum is σ = 34837262460. Its totient is φ = 2211840000.

The previous prime is 8812799987. The next prime is 8812800013. The reversal of 8812800000 is 82188.

It is an interprime number because it is at equal distance from previous prime (8812799987) and next prime (8812800013).

It can be written as a sum of positive squares in 6 ways, for example, as 372335616 + 8440464384 = 19296^2 + 91872^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 518399992 + ... + 518400008.

Almost surely, 2^8812800000 is an apocalyptic number.

8812800000 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 8812800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418631230).

8812800000 is an abundant number, since it is smaller than the sum of its proper divisors (26024462460).

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

8812800000 is an frugal number, since it uses more digits than its factorization.

8812800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8812800000 is about 93876.5146349181. The cubic root of 8812800000 is about 2065.5607448716.

Adding to 8812800000 its reverse (82188), we get a palindrome (8812882188).

The spelling of 8812800000 in words is "eight billion, eight hundred twelve million, eight hundred thousand".