78006489600 has 480 divisors, whose sum is σ = 278962770240. Its totient is φ = 19101450240.

The previous prime is 78006489599. The next prime is 78006489607. The reversal of 78006489600 is 698460087.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78006489600.

It is not an unprimeable number, because it can be changed into a prime (78006489607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153254146 + ... + 153254654.

It is an arithmetic number, because the mean of its divisors is an integer number (581172438).

Almost surely, 2^78006489600 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 78006489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139481385120).

78006489600 is an abundant number, since it is smaller than the sum of its proper divisors (200956280640).

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

78006489600 is a wasteful number, since it uses less digits than its factorization.

78006489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 78006489600 in words is "seventy-eight billion, six million, four hundred eighty-nine thousand, six hundred".