78785602560 has 660 divisors, whose sum is σ = 328501323612. Its totient is φ = 18003492864.

The previous prime is 78785602543. The next prime is 78785602561. The reversal of 78785602560 is 6520658787.

78785602560 is a `hidden beast` number, since 7 + 8 + 78 + 5 + 6 + 0 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24096973824 + 54688628736 = 155232^2 + 233856^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78785602497 and 78785602506.

It is not an unprimeable number, because it can be changed into a prime (78785602561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20319342 + ... + 20323218.

Almost surely, 2^78785602560 is an apocalyptic number.

78785602560 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 78785602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164250661806).

78785602560 is an abundant number, since it is smaller than the sum of its proper divisors (249715721052).

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

78785602560 is a wasteful number, since it uses less digits than its factorization.

78785602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 78785602560 in words is "seventy-eight billion, seven hundred eighty-five million, six hundred two thousand, five hundred sixty".