78590371680 has 288 divisors, whose sum is σ = 293128512768. Its totient is φ = 19088179200.

The previous prime is 78590371661. The next prime is 78590371681. The reversal of 78590371680 is 8617309587.

78590371680 is a `hidden beast` number, since 7 + 8 + 590 + 37 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78590371681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 707100 + ... + 810660.

It is an arithmetic number, because the mean of its divisors is an integer number (1017807336).

Almost surely, 2^78590371680 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 78590371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146564256384).

78590371680 is an abundant number, since it is smaller than the sum of its proper divisors (214538141088).

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

78590371680 is a wasteful number, since it uses less digits than its factorization.

78590371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103630 (or 103619 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 78590371680 in words is "seventy-eight billion, five hundred ninety million, three hundred seventy-one thousand, six hundred eighty".