78110484480 has 720 divisors, whose sum is σ = 316712263140. Its totient is φ = 17803247616.

The previous prime is 78110484479. The next prime is 78110484493. The reversal of 78110484480 is 8448401187.

It is a happy number.

78110484480 is a `hidden beast` number, since 7 + 81 + 10 + 4 + 84 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77026231296 + 1084253184 = 277536^2 + 32928^2 .

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

It is a super-2 number, since 2×78110484480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 221275984 + ... + 221276336.

Almost surely, 2^78110484480 is an apocalyptic number.

78110484480 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 78110484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158356131570).

78110484480 is an abundant number, since it is smaller than the sum of its proper divisors (238601778660).

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

78110484480 is an equidigital number, since it uses as much as digits as its factorization.

78110484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 78110484480 in words is "seventy-eight billion, one hundred ten million, four hundred eighty-four thousand, four hundred eighty".