8925789600 has 1152 divisors, whose sum is σ = 41997312000. Its totient is φ = 1776660480.

The previous prime is 8925789577. The next prime is 8925789617. The reversal of 8925789600 is 69875298.

It is a happy number.

8925789600 is a `hidden beast` number, since 8 + 9 + 2 + 578 + 9 + 60 + 0 = 666.

It is a super-3 number, since 3×8925789600³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37346281 + ... + 37346519.

It is an arithmetic number, because the mean of its divisors is an integer number (36456000).

Almost surely, 2^8925789600 is an apocalyptic number.

8925789600 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 8925789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656000).

8925789600 is an abundant number, since it is smaller than the sum of its proper divisors (33071522400).

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

8925789600 is a wasteful number, since it uses less digits than its factorization.

8925789600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 8925789600 is about 94476.3970523855. The cubic root of 8925789600 is about 2074.3508570875.

The spelling of 8925789600 in words is "eight billion, nine hundred twenty-five million, seven hundred eighty-nine thousand, six hundred".