78730565760 has 1536 divisors, whose sum is σ = 361677312000. Its totient is φ = 16001556480.

The previous prime is 78730565717. The next prime is 78730565779. The reversal of 78730565760 is 6756503787.

78730565760 is a `hidden beast` number, since 7 + 8 + 7 + 3 + 0 + 565 + 76 + 0 = 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 = 78730565697 and 78730565706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 735799627 + ... + 735799733.

It is an arithmetic number, because the mean of its divisors is an integer number (235467000).

Almost surely, 2^78730565760 is an apocalyptic number.

78730565760 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 78730565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180838656000).

78730565760 is an abundant number, since it is smaller than the sum of its proper divisors (282946746240).

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

78730565760 is a wasteful number, since it uses less digits than its factorization.

78730565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 78730565760 in words is "seventy-eight billion, seven hundred thirty million, five hundred sixty-five thousand, seven hundred sixty".