78101802000 has 240 divisors, whose sum is σ = 279439458480. Its totient is φ = 20318976000.

The previous prime is 78101801951. The next prime is 78101802001. The reversal of 78101802000 is 20810187.

It can be written as a sum of positive squares in 8 ways, for example, as 65921589504 + 12180212496 = 256752^2 + 110364^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (78101802001) 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, 685086 + ... + 790914.

It is an arithmetic number, because the mean of its divisors is an integer number (1164331077).

Almost surely, 2^78101802000 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 78101802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139719729240).

78101802000 is an abundant number, since it is smaller than the sum of its proper divisors (201337656480).

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

78101802000 is a wasteful number, since it uses less digits than its factorization.

78101802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105899 (or 105880 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 78101802000 in words is "seventy-eight billion, one hundred one million, eight hundred two thousand".