480777 has 16 divisors (see below), whose sum is σ = 741312. Its totient is φ = 273920.

The previous prime is 480773. The next prime is 480787. The reversal of 480777 is 777084.

It is a cyclic number.

It is not a de Polignac number, because 480777 - 2² = 480773 is a prime.

It is a super-3 number, since 3×480777³ = 333389796716572299, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

480777 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (480773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (46332).

2⁴⁸⁰⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

480777 is a deficient number, since it is larger than the sum of its proper divisors (260535).

480777 is a wasteful number, since it uses less digits than its factorization.

480777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888.

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 480777 is about 693.3808477309. The cubic root of 480777 is about 78.3395779942.

It can be divided in two parts, 48077 and 7, that added together give a palindrome (48084).

The spelling of 480777 in words is "four hundred eighty thousand, seven hundred seventy-seven".