78181240500 has 1344 divisors, whose sum is σ = 313494644736. Its totient is φ = 16796160000.

The previous prime is 78181240499. The next prime is 78181240507. The reversal of 78181240500 is 504218187.

78181240500 is a `hidden beast` number, since 78 + 1 + 81 + 2 + 4 + 0 + 500 = 666.

It is a super-2 number, since 2×78181240500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78181240507) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2113006482 + ... + 2113006518.

It is an arithmetic number, because the mean of its divisors is an integer number (233254944).

Almost surely, 2^78181240500 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 78181240500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156747322368).

78181240500 is an abundant number, since it is smaller than the sum of its proper divisors (235313404236).

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

78181240500 is a wasteful number, since it uses less digits than its factorization.

78181240500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Adding to 78181240500 its reverse (504218187), we get a palindrome (78685458687).

The spelling of 78181240500 in words is "seventy-eight billion, one hundred eighty-one million, two hundred forty thousand, five hundred".