8852781600 has 864 divisors, whose sum is σ = 36306676224. Its totient is φ = 2090188800.

The previous prime is 8852781571. The next prime is 8852781601. The reversal of 8852781600 is 61872588.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8852781601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78343144 + ... + 78343256.

It is an arithmetic number, because the mean of its divisors is an integer number (42021616).

Almost surely, 2^8852781600 is an apocalyptic number.

8852781600 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 8852781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18153338112).

8852781600 is an abundant number, since it is smaller than the sum of its proper divisors (27453894624).

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

8852781600 is a wasteful number, since it uses less digits than its factorization.

8852781600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 8852781600 is about 94089.2214868419. The cubic root of 8852781600 is about 2068.6796873417.

The spelling of 8852781600 in words is "eight billion, eight hundred fifty-two million, seven hundred eighty-one thousand, six hundred".