78480783360 has 720 divisors, whose sum is σ = 327395348280. Its totient is φ = 17929175040.

The previous prime is 78480783313. The next prime is 78480783427. The reversal of 78480783360 is 6338708487.

78480783360 is a `hidden beast` number, since 7 + 8 + 480 + 78 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 78480783297 and 78480783306.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 40641595 + ... + 40643525.

Almost surely, 2^78480783360 is an apocalyptic number.

78480783360 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 78480783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163697674140).

78480783360 is an abundant number, since it is smaller than the sum of its proper divisors (248914564920).

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

78480783360 is a wasteful number, since it uses less digits than its factorization.

78480783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

It can be divided in two parts, 784 and 80783360, that added together give a square (80784144 = 8988²).

The spelling of 78480783360 in words is "seventy-eight billion, four hundred eighty million, seven hundred eighty-three thousand, three hundred sixty".