480847708720776 has 128 divisors (see below), whose sum is σ = 1247748877186560. Its totient is φ = 154329811584000.

The previous prime is 480847708720597. The next prime is 480847708720811. The reversal of 480847708720776 is 677027807748084.

It is a super-3 number, since 3×480847708720776³ (a number of 45 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 480847708720698 and 480847708720707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4445206 + ... + 31328186.

It is an arithmetic number, because the mean of its divisors is an integer number (9748038103020).

Almost surely, 2^{480847708720776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480847708720776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623874438593280).

480847708720776 is an abundant number, since it is smaller than the sum of its proper divisors (766901168465784).

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

480847708720776 is a wasteful number, since it uses less digits than its factorization.

480847708720776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26883295 (or 26883291 counting only the distinct ones).

The product of its (nonzero) digits is 1652195328, while the sum is 75.

The spelling of 480847708720776 in words is "four hundred eighty trillion, eight hundred forty-seven billion, seven hundred eight million, seven hundred twenty thousand, seven hundred seventy-six".