73785600 has 432 divisors, whose sum is σ = 314285440. Its totient is φ = 16588800.

The previous prime is 73785581. The next prime is 73785617. The reversal of 73785600 is 658737.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209570 + ... + 1209630.

Almost surely, 2^73785600 is an apocalyptic number.

73785600 is a gapful number since it is divisible by the number (70) 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 73785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157142720).

73785600 is an abundant number, since it is smaller than the sum of its proper divisors (240499840).

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

73785600 is a wasteful number, since it uses less digits than its factorization.

73785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 73785600 is about 8589.8544807232. The cubic root of 73785600 is about 419.4277922070.

The spelling of 73785600 in words is "seventy-three million, seven hundred eighty-five thousand, six hundred".