78389775129600 has 1584 divisors, whose sum is σ = 334246030634880. Its totient is φ = 18003094732800.

The previous prime is 78389775129587. The next prime is 78389775129643. The reversal of 78389775129600 is 692157798387.

78389775129600 is a `hidden beast` number, since 7 + 8 + 3 + 8 + 9 + 7 + 7 + 5 + 1 + 2 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×78389775129600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1300117054 + ... + 1300177346.

Almost surely, 2^{78389775129600} 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 78389775129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167123015317440).

78389775129600 is an abundant number, since it is smaller than the sum of its proper divisors (255856255505280).

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

78389775129600 is a wasteful number, since it uses less digits than its factorization.

78389775129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60368 (or 60333 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 78389775129600 in words is "seventy-eight trillion, three hundred eighty-nine billion, seven hundred seventy-five million, one hundred twenty-nine thousand, six hundred".