78355085000 has 80 divisors (see below), whose sum is σ = 188548192140. Its totient is φ = 30494880000.

The previous prime is 78355084993. The next prime is 78355085023. The reversal of 78355085000 is 58055387.

It can be written as a sum of positive squares in 10 ways, for example, as 7116272164 + 71238812836 = 84358^2 + 266906^2 .

It is a super-2 number, since 2×78355085000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26771 + ... + 396770.

Almost surely, 2^78355085000 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 78355085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94274096070).

78355085000 is an abundant number, since it is smaller than the sum of its proper divisors (110193107140).

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

78355085000 is a wasteful number, since it uses less digits than its factorization.

78355085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423604 (or 423585 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

The spelling of 78355085000 in words is "seventy-eight billion, three hundred fifty-five million, eighty-five thousand".