78085797390 has 384 divisors, whose sum is σ = 231720652800. Its totient is φ = 18845291520.

The previous prime is 78085797389. The next prime is 78085797403. The reversal of 78085797390 is 9379758087.

78085797390 is a `hidden beast` number, since 7 + 80 + 85 + 7 + 97 + 390 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 127382724 + ... + 127383336.

It is an arithmetic number, because the mean of its divisors is an integer number (603439200).

Almost surely, 2^78085797390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78085797390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115860326400).

78085797390 is an abundant number, since it is smaller than the sum of its proper divisors (153634855410).

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

78085797390 is a wasteful number, since it uses less digits than its factorization.

78085797390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 78085797390 in words is "seventy-eight billion, eighty-five million, seven hundred ninety-seven thousand, three hundred ninety".