480824767507877 has 8 divisors (see below), whose sum is σ = 518295676583160. Its totient is φ = 443423056789440.

The previous prime is 480824767507829. The next prime is 480824767507907. The reversal of 480824767507877 is 778705767428084.

It can be written as a sum of positive squares in 4 ways, for example, as 5745158372836 + 475079609135041 = 2396906^2 + 21796321^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-480824767507877 is a prime.

It is a super-3 number, since 3×480824767507877³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480824767500877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17299574774 + ... + 17299602567.

It is an arithmetic number, because the mean of its divisors is an integer number (64786959572895).

Almost surely, 2^{480824767507877} is an apocalyptic number.

It is an amenable number.

480824767507877 is a deficient number, since it is larger than the sum of its proper divisors (37470909075283).

480824767507877 is a wasteful number, since it uses less digits than its factorization.

480824767507877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34599178423.

The product of its (nonzero) digits is 8260976640, while the sum is 80.

The spelling of 480824767507877 in words is "four hundred eighty trillion, eight hundred twenty-four billion, seven hundred sixty-seven million, five hundred seven thousand, eight hundred seventy-seven".