78432307200 has 432 divisors, whose sum is σ = 302523645060. Its totient is φ = 19304939520.

The previous prime is 78432307189. The next prime is 78432307259. The reversal of 78432307200 is 270323487.

It can be written as a sum of positive squares in 6 ways, for example, as 31235613696 + 47196693504 = 176736^2 + 217248^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5983854 + ... + 5996946.

Almost surely, 2^78432307200 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 78432307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151261822530).

78432307200 is an abundant number, since it is smaller than the sum of its proper divisors (224091337860).

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

78432307200 is a wasteful number, since it uses less digits than its factorization.

78432307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13144 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 78432307200 in words is "seventy-eight billion, four hundred thirty-two million, three hundred seven thousand, two hundred".