78094085760 has 384 divisors, whose sum is σ = 284602032000. Its totient is φ = 19677634560.

The previous prime is 78094085753. The next prime is 78094085777. The reversal of 78094085760 is 6758049087.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 78094085697 and 78094085706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59206381 + ... + 59207699.

It is an arithmetic number, because the mean of its divisors is an integer number (741151125).

Almost surely, 2^78094085760 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 78094085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142301016000).

78094085760 is an abundant number, since it is smaller than the sum of its proper divisors (206507946240).

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

78094085760 is a wasteful number, since it uses less digits than its factorization.

78094085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 78094085760 in words is "seventy-eight billion, ninety-four million, eighty-five thousand, seven hundred sixty".