78026578560 has 512 divisors, whose sum is σ = 317260800000. Its totient is φ = 17753444352.

The previous prime is 78026578541. The next prime is 78026578577. The reversal of 78026578560 is 6587562087.

78026578560 is a `hidden beast` number, since 7 + 8 + 0 + 2 + 6 + 5 + 78 + 560 = 666.

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 = 78026578497 and 78026578506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28908091 + ... + 28910789.

It is an arithmetic number, because the mean of its divisors is an integer number (619650000).

Almost surely, 2^78026578560 is an apocalyptic number.

78026578560 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 78026578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400000).

78026578560 is an abundant number, since it is smaller than the sum of its proper divisors (239234221440).

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

78026578560 is a wasteful number, since it uses less digits than its factorization.

78026578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2955 counting only the distinct ones).

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

The spelling of 78026578560 in words is "seventy-eight billion, twenty-six million, five hundred seventy-eight thousand, five hundred sixty".