78751296000 has 720 divisors, whose sum is σ = 307524480120. Its totient is φ = 19360972800.

The previous prime is 78751295989. The next prime is 78751296031. The reversal of 78751296000 is 69215787.

78751296000 is a `hidden beast` number, since 78 + 7 + 512 + 9 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11242785024 + 67508510976 = 106032^2 + 259824^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97343596 + ... + 97344404.

Almost surely, 2^78751296000 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 78751296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153762240060).

78751296000 is an abundant number, since it is smaller than the sum of its proper divisors (228773184120).

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

78751296000 is a wasteful number, since it uses less digits than its factorization.

78751296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 78751296000 in words is "seventy-eight billion, seven hundred fifty-one million, two hundred ninety-six thousand".