78726297600 has 720 divisors, whose sum is σ = 299342403360. Its totient is φ = 20437401600.

The previous prime is 78726297581. The next prime is 78726297607. The reversal of 78726297600 is 679262787.

78726297600 is a `hidden beast` number, since 7 + 8 + 7 + 2 + 6 + 29 + 7 + 600 = 666.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78726297607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 170034969 + ... + 170035431.

It is an arithmetic number, because the mean of its divisors is an integer number (415753338).

Almost surely, 2^78726297600 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 78726297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149671201680).

78726297600 is an abundant number, since it is smaller than the sum of its proper divisors (220616105760).

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

78726297600 is a wasteful number, since it uses less digits than its factorization.

78726297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 78726297600 in words is "seventy-eight billion, seven hundred twenty-six million, two hundred ninety-seven thousand, six hundred".