78072010560 has 168 divisors, whose sum is σ = 268890247080. Its totient is φ = 20791676928.

The previous prime is 78072010547. The next prime is 78072010561. The reversal of 78072010560 is 6501027087.

78072010560 is a `hidden beast` number, since 7 + 80 + 7 + 2 + 0 + 10 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11607045696 + 66464964864 = 107736^2 + 257808^2 .

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 (78072010561) 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, 2208706 + ... + 2243774.

It is an arithmetic number, because the mean of its divisors is an integer number (1600537185).

Almost surely, 2^78072010560 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 78072010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134445123540).

78072010560 is an abundant number, since it is smaller than the sum of its proper divisors (190818236520).

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

78072010560 is a wasteful number, since it uses less digits than its factorization.

78072010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35865 (or 35852 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 78072010560 in words is "seventy-eight billion, seventy-two million, ten thousand, five hundred sixty".