78238791090180 has 192 divisors, whose sum is σ = 278231671388160. Its totient is φ = 17879982768000.

The previous prime is 78238791090143. The next prime is 78238791090203. The reversal of 78238791090180 is 8109019783287.

78238791090180 is a `hidden beast` number, since 7 + 8 + 2 + 387 + 91 + 0 + 90 + 1 + 80 = 666.

It is a super-2 number, since 2×78238791090180² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 19529415 + ... + 23192145.

It is an arithmetic number, because the mean of its divisors is an integer number (1449123288480).

Almost surely, 2^{78238791090180} is an apocalyptic number.

78238791090180 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78238791090180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139115835694080).

78238791090180 is an abundant number, since it is smaller than the sum of its proper divisors (199992880297980).

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

78238791090180 is a wasteful number, since it uses less digits than its factorization.

78238791090180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668407 (or 3668399 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 78238791090180 in words is "seventy-eight trillion, two hundred thirty-eight billion, seven hundred ninety-one million, ninety thousand, one hundred eighty".