480707758080 has 1920 divisors, whose sum is σ = 2054916864000. Its totient is φ = 106221404160.

The previous prime is 480707758073. The next prime is 480707758093. The reversal of 480707758080 is 80857707084.

480707758080 is a `hidden beast` number, since 480 + 7 + 0 + 7 + 7 + 5 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×480707758080³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 8147589091 + ... + 8147589149.

It is an arithmetic number, because the mean of its divisors is an integer number (1070269200).

Almost surely, 2^480707758080 is an apocalyptic number.

480707758080 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 480707758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027458432000).

480707758080 is an abundant number, since it is smaller than the sum of its proper divisors (1574209105920).

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

480707758080 is a wasteful number, since it uses less digits than its factorization.

480707758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 480707758080 in words is "four hundred eighty billion, seven hundred seven million, seven hundred fifty-eight thousand, eighty".