784960 has 56 divisors (see below), whose sum is σ = 2048256. Its totient is φ = 284160.

The previous prime is 784957. The next prime is 784961. The reversal of 784960 is 69487.

784960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (784961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3409 + ... + 3631.

It is an arithmetic number, because the mean of its divisors is an integer number (36576).

2⁷⁸⁴⁹⁶⁰ 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 784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128).

784960 is an abundant number, since it is smaller than the sum of its proper divisors (1263296).

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

784960 is a wasteful number, since it uses less digits than its factorization.

784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 784960 is about 885.9796837400. The cubic root of 784960 is about 92.2463467045.

The spelling of 784960 in words is "seven hundred eighty-four thousand, nine hundred sixty".