78984430560 has 384 divisors, whose sum is σ = 319206666240. Its totient is φ = 17866801152.

The previous prime is 78984430523. The next prime is 78984430561. The reversal of 78984430560 is 6503448987.

78984430560 is a `hidden beast` number, since 7 + 8 + 9 + 8 + 44 + 30 + 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 = 78984430497 and 78984430506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78984430561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2919817 + ... + 2946743.

It is an arithmetic number, because the mean of its divisors is an integer number (831267360).

Almost surely, 2^78984430560 is an apocalyptic number.

78984430560 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 78984430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159603333120).

78984430560 is an abundant number, since it is smaller than the sum of its proper divisors (240222235680).

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

78984430560 is a wasteful number, since it uses less digits than its factorization.

78984430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27055 (or 27041 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 78984430560 in words is "seventy-eight billion, nine hundred eighty-four million, four hundred thirty thousand, five hundred sixty".