768480 has 48 divisors (see below), whose sum is σ = 2422224. Its totient is φ = 204800.

The previous prime is 768479. The next prime is 768491. The reversal of 768480 is 84867.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 321 + ... + 1280.

It is an arithmetic number, because the mean of its divisors is an integer number (50463).

2⁷⁶⁸⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

768480 is an abundant number, since it is smaller than the sum of its proper divisors (1653744).

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

768480 is a wasteful number, since it uses less digits than its factorization.

768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 768480 is about 876.6299105096. The cubic root of 768480 is about 91.5962140017.

The spelling of 768480 in words is "seven hundred sixty-eight thousand, four hundred eighty".