78326643600 has 300 divisors, whose sum is σ = 286418242836. Its totient is φ = 20492559360.

The previous prime is 78326643541. The next prime is 78326643601. The reversal of 78326643600 is 634662387.

78326643600 is a `hidden beast` number, since 7 + 8 + 32 + 6 + 6 + 4 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8579946384 + 69746697216 = 92628^2 + 264096^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×78326643600² (a number of 23 digits) contains 22 as substring.

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 (78326643601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1694394 + ... + 1740006.

Almost surely, 2^78326643600 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 78326643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143209121418).

78326643600 is an abundant number, since it is smaller than the sum of its proper divisors (208091599236).

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

78326643600 is a wasteful number, since it uses less digits than its factorization.

78326643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45696 (or 45676 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 78326643600 in words is "seventy-eight billion, three hundred twenty-six million, six hundred forty-three thousand, six hundred".