9073785600 has 324 divisors, whose sum is σ = 35392469112. Its totient is φ = 2199552000.

The previous prime is 9073785533. The next prime is 9073785601. The reversal of 9073785600 is 65873709.

It is a happy number.

9073785600 is a `hidden beast` number, since 9 + 0 + 7 + 37 + 8 + 5 + 600 = 666.

It is a super-2 number, since 2×9073785600² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (9073785601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 626440 + ... + 640760.

Almost surely, 2^9073785600 is an apocalyptic number.

9073785600 is a gapful number since it is divisible by the number (90) 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 9073785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696234556).

9073785600 is an abundant number, since it is smaller than the sum of its proper divisors (26318683512).

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

9073785600 is a wasteful number, since it uses less digits than its factorization.

9073785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14364 (or 14342 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9073785600 is about 95256.4202560646. The cubic root of 9073785600 is about 2085.7528120201.

The spelling of 9073785600 in words is "nine billion, seventy-three million, seven hundred eighty-five thousand, six hundred".