480778753 has 16 divisors (see below), whose sum is σ = 599226880. Its totient is φ = 375575616.

The previous prime is 480778709. The next prime is 480778789. The reversal of 480778753 is 357877084.

It is a de Polignac number, because none of the positive numbers 2^k-480778753 is a prime.

It is a super-3 number, since 3×480778753³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 480778697 and 480778706.

It is not an unprimeable number, because it can be changed into a prime (480778553) 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, 26250 + ... + 40627.

It is an arithmetic number, because the mean of its divisors is an integer number (37451680).

Almost surely, 2^480778753 is an apocalyptic number.

It is an amenable number.

480778753 is a deficient number, since it is larger than the sum of its proper divisors (118448127).

480778753 is a wasteful number, since it uses less digits than its factorization.

480778753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66976.

The product of its (nonzero) digits is 1317120, while the sum is 49.

The square root of 480778753 is about 21926.6676218709. The cubic root of 480778753 is about 783.3967320751.

The spelling of 480778753 in words is "four hundred eighty million, seven hundred seventy-eight thousand, seven hundred fifty-three".