78130218240 has 216 divisors, whose sum is σ = 277629942408. Its totient is φ = 20271513600.

The previous prime is 78130218223. The next prime is 78130218241. The reversal of 78130218240 is 4281203187.

78130218240 is a `hidden beast` number, since 78 + 130 + 218 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23755440384 + 54374777856 = 154128^2 + 233184^2 .

It is a super-2 number, since 2×78130218240² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 78130218195 and 78130218204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78130218241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334590 + ... + 517890.

Almost surely, 2^78130218240 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 78130218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138814971204).

78130218240 is an abundant number, since it is smaller than the sum of its proper divisors (199499724168).

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

78130218240 is a wasteful number, since it uses less digits than its factorization.

78130218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183365 (or 183348 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 78130218240 in words is "seventy-eight billion, one hundred thirty million, two hundred eighteen thousand, two hundred forty".