78744124800 has 1152 divisors, whose sum is σ = 326033061120. Its totient is φ = 17909760000.

The previous prime is 78744124691. The next prime is 78744124847. The reversal of 78744124800 is 842144787.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 735926347 + ... + 735926453.

It is an arithmetic number, because the mean of its divisors is an integer number (283014810).

Almost surely, 2^78744124800 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 78744124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163016530560).

78744124800 is an abundant number, since it is smaller than the sum of its proper divisors (247288936320).

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

78744124800 is a wasteful number, since it uses less digits than its factorization.

78744124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 78744124800 in words is "seventy-eight billion, seven hundred forty-four million, one hundred twenty-four thousand, eight hundred".