76409223200 has 162 divisors, whose sum is σ = 193762983141. Its totient is φ = 29422202880.

The previous prime is 76409223193. The next prime is 76409223211. The reversal of 76409223200 is 232290467.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 9326151184 + 67083072016 = 96572^2 + 259004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=195460.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 226733432 + ... + 226733768.

Almost surely, 2^76409223200 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 76409223200

76409223200 is an abundant number, since it is smaller than the sum of its proper divisors (117353759941).

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

76409223200 is an equidigital number, since it uses as much as digits as its factorization.

76409223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 76409223200 in words is "seventy-six billion, four hundred nine million, two hundred twenty-three thousand, two hundred".