780960 has 48 divisors (see below), whose sum is σ = 2461536. Its totient is φ = 208128.

The previous prime is 780953. The next prime is 780961. The reversal of 780960 is 69087.

It is a happy number.

780960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (780961) by changing a digit.

780960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (51282).

2⁷⁸⁰⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

780960 is an abundant number, since it is smaller than the sum of its proper divisors (1680576).

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

780960 is a wasteful number, since it uses less digits than its factorization.

780960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 780960 is about 883.7194124834. The cubic root of 780960 is about 92.0893901182.

The spelling of 780960 in words is "seven hundred eighty thousand, nine hundred sixty".