76384800 has 162 divisors, whose sum is σ = 271992357. Its totient is φ = 20171520.

The previous prime is 76384793. The next prime is 76384829. The reversal of 76384800 is 848367.

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 2 ways, for example, as 74857104 + 1527696 = 8652^2 + 1236^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6180.

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 26 ways as a sum of consecutive naturals, for example, 741549 + ... + 741651.

Almost surely, 2^76384800 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 76384800

76384800 is an abundant number, since it is smaller than the sum of its proper divisors (195607557).

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

76384800 is a wasteful number, since it uses less digits than its factorization.

76384800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76384800 is about 8739.8398154657. The cubic root of 76384800 is about 424.2960433981.

The spelling of 76384800 in words is "seventy-six million, three hundred eighty-four thousand, eight hundred".