78180574052880 has 240 divisors, whose sum is σ = 282765124592496. Its totient is φ = 19243628974080.

The previous prime is 78180574052813. The next prime is 78180574052881. The reversal of 78180574052880 is 8825047508187.

78180574052880 is a `hidden beast` number, since 7 + 8 + 1 + 8 + 0 + 574 + 0 + 52 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14402844731664 + 63777729321216 = 3795108^2 + 7986096^2 .

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

It is a super-2 number, since 2×78180574052880² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78180574052881) 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, 236277634 + ... + 236608286.

Almost surely, 2^{78180574052880} 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 78180574052880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141382562296248).

78180574052880 is an abundant number, since it is smaller than the sum of its proper divisors (204584550539616).

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

78180574052880 is a wasteful number, since it uses less digits than its factorization.

78180574052880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355946 (or 355937 counting only the distinct ones).

The product of its (nonzero) digits is 40140800, while the sum is 63.

The spelling of 78180574052880 in words is "seventy-eight trillion, one hundred eighty billion, five hundred seventy-four million, fifty-two thousand, eight hundred eighty".