765780480 has 240 divisors, whose sum is σ = 2752573824. Its totient is φ = 204042240.

The previous prime is 765780451. The next prime is 765780539. The reversal of 765780480 is 84087567.

765780480 is a `hidden beast` number, since 76 + 578 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621465 + ... + 622695.

Almost surely, 2^765780480 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 765780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376286912).

765780480 is an abundant number, since it is smaller than the sum of its proper divisors (1986793344).

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

765780480 is an equidigital number, since it uses as much as digits as its factorization.

765780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 765780480 is about 27672.7389320248. The cubic root of 765780480 is about 914.8883497199. Note that the first 3 decimals are identical.

The spelling of 765780480 in words is "seven hundred sixty-five million, seven hundred eighty thousand, four hundred eighty".