8745877800 has 480 divisors, whose sum is σ = 35098557120. Its totient is φ = 1994803200.

The previous prime is 8745877781. The next prime is 8745877831. The reversal of 8745877800 is 87785478.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3027957 + ... + 3030843.

It is an arithmetic number, because the mean of its divisors is an integer number (73121994).

Almost surely, 2^8745877800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8745877800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549278560).

8745877800 is an abundant number, since it is smaller than the sum of its proper divisors (26352679320).

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

8745877800 is a wasteful number, since it uses less digits than its factorization.

8745877800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The square root of 8745877800 is about 93519.3979877972. The cubic root of 8745877800 is about 2060.3190036031.

The spelling of 8745877800 in words is "eight billion, seven hundred forty-five million, eight hundred seventy-seven thousand, eight hundred".