78645183112080 has 240 divisors, whose sum is σ = 284477039189616. Its totient is φ = 19355845017600.

The previous prime is 78645183112073. The next prime is 78645183112087. The reversal of 78645183112080 is 8021138154687.

78645183112080 is a `hidden beast` number, since 7 + 8 + 6 + 4 + 518 + 3 + 112 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78645183112073) and next prime (78645183112087).

It can be written as a sum of positive squares in 8 ways, for example, as 4654357500816 + 73990825611264 = 2157396^2 + 8601792^2 .

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

It is a super-3 number, since 3×78645183112080³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (78645183112087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60694980 + ... + 61977180.

Almost surely, 2^{78645183112080} 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 78645183112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142238519594808).

78645183112080 is an abundant number, since it is smaller than the sum of its proper divisors (205831856077536).

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

78645183112080 is a wasteful number, since it uses less digits than its factorization.

78645183112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288786 (or 1288777 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 78645183112080 in words is "seventy-eight trillion, six hundred forty-five billion, one hundred eighty-three million, one hundred twelve thousand, eighty".