78093903600 has 240 divisors, whose sum is σ = 278185513440. Its totient is φ = 20807884800.

The previous prime is 78093903593. The next prime is 78093903647. The reversal of 78093903600 is 630939087.

It is a happy number.

78093903600 is a `hidden beast` number, since 7 + 8 + 0 + 9 + 39 + 0 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18325470 + ... + 18329730.

It is an arithmetic number, because the mean of its divisors is an integer number (1159106306).

Almost surely, 2^78093903600 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 78093903600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139092756720).

78093903600 is an abundant number, since it is smaller than the sum of its proper divisors (200091609840).

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

78093903600 is a wasteful number, since it uses less digits than its factorization.

78093903600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 78093903600 in words is "seventy-eight billion, ninety-three million, nine hundred three thousand, six hundred".