765456480 has 120 divisors (see below), whose sum is σ = 2701469232. Its totient is φ = 204118272.

The previous prime is 765456443. The next prime is 765456499. The reversal of 765456480 is 84654567.

765456480 is a `hidden beast` number, since 7 + 6 + 5 + 4 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16572 + ... + 42491.

Almost surely, 2^765456480 is an apocalyptic number.

It is an amenable number.

765456480 is an abundant number, since it is smaller than the sum of its proper divisors (1936012752).

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

765456480 is a wasteful number, since it uses less digits than its factorization.

765456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59090 (or 59073 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 765456480 is about 27666.8841758518. The cubic root of 765456480 is about 914.7593024502.

It can be divided in two parts, 76 and 5456480, that added together give a triangular number (5456556 = T₃₃₀₃).

The spelling of 765456480 in words is "seven hundred sixty-five million, four hundred fifty-six thousand, four hundred eighty".