480772766754 has 48 divisors (see below), whose sum is σ = 1198067702208. Its totient is φ = 136488714336.

The previous prime is 480772766723. The next prime is 480772766767. The reversal of 480772766754 is 457667277084.

480772766754 is a `hidden beast` number, since 480 + 7 + 7 + 27 + 66 + 75 + 4 = 666.

It is a super-3 number, since 3×480772766754³ (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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 480772766691 and 480772766700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12131992 + ... + 12171555.

It is an arithmetic number, because the mean of its divisors is an integer number (24959743796).

Almost surely, 2^480772766754 is an apocalyptic number.

480772766754 is an abundant number, since it is smaller than the sum of its proper divisors (717294935454).

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

480772766754 is a wasteful number, since it uses less digits than its factorization.

480772766754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24303719 (or 24303716 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 63.

The spelling of 480772766754 in words is "four hundred eighty billion, seven hundred seventy-two million, seven hundred sixty-six thousand, seven hundred fifty-four".