78102318840 has 512 divisors, whose sum is σ = 313373491200. Its totient is φ = 15106590720.

The previous prime is 78102318823. The next prime is 78102318841. The reversal of 78102318840 is 4881320187.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 78102318792 and 78102318801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78102318841) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6425809 + ... + 6437951.

It is an arithmetic number, because the mean of its divisors is an integer number (612057600).

Almost surely, 2^78102318840 is an apocalyptic number.

78102318840 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 78102318840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686745600).

78102318840 is an abundant number, since it is smaller than the sum of its proper divisors (235271172360).

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

78102318840 is a wasteful number, since it uses less digits than its factorization.

78102318840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227 (or 12223 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 78102318840 in words is "seventy-eight billion, one hundred two million, three hundred eighteen thousand, eight hundred forty".