480778012800 has 288 divisors, whose sum is σ = 1716400760880. Its totient is φ = 128142120960.

The previous prime is 480778012789. The next prime is 480778012831. The reversal of 480778012800 is 8210877084.

480778012800 is a `hidden beast` number, since 480 + 7 + 7 + 80 + 12 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×480778012800³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 35 ways as a sum of consecutive naturals, for example, 88326879 + ... + 88332321.

Almost surely, 2^480778012800 is an apocalyptic number.

480778012800 is a gapful number since it is divisible by the number (40) 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 480778012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858200380440).

480778012800 is an abundant number, since it is smaller than the sum of its proper divisors (1235622748080).

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

480778012800 is a wasteful number, since it uses less digits than its factorization.

480778012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

Adding to 480778012800 its reverse (8210877084), we get a palindrome (488988889884).

The spelling of 480778012800 in words is "four hundred eighty billion, seven hundred seventy-eight million, twelve thousand, eight hundred".