8778564000 has 192 divisors, whose sum is σ = 31954366080. Its totient is φ = 2340921600.

The previous prime is 8778563957. The next prime is 8778564007. The reversal of 8778564000 is 4658778.

8778564000 is a `hidden beast` number, since 87 + 7 + 8 + 564 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8778564007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67359 + ... + 148641.

It is an arithmetic number, because the mean of its divisors is an integer number (166428990).

Almost surely, 2^8778564000 is an apocalyptic number.

8778564000 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 8778564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15977183040).

8778564000 is an abundant number, since it is smaller than the sum of its proper divisors (23175802080).

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

8778564000 is a wasteful number, since it uses less digits than its factorization.

8778564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81317 (or 81293 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 8778564000 is about 93693.9912694512. The cubic root of 8778564000 is about 2062.8825075688.

The spelling of 8778564000 in words is "eight billion, seven hundred seventy-eight million, five hundred sixty-four thousand".