785848960 has 128 divisors (see below), whose sum is σ = 2093590800. Its totient is φ = 280068096.

The previous prime is 785848939. The next prime is 785848979. The reversal of 785848960 is 69848587.

It can be written as a sum of positive squares in 8 ways, for example, as 349540416 + 436308544 = 18696^2 + 20888^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239652 + ... + 242908.

Almost surely, 2^785848960 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 785848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046795400).

785848960 is an abundant number, since it is smaller than the sum of its proper divisors (1307741840).

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

785848960 is a wasteful number, since it uses less digits than its factorization.

785848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The square root of 785848960 is about 28032.9976991402. The cubic root of 785848960 is about 922.8115628116.

The spelling of 785848960 in words is "seven hundred eighty-five million, eight hundred forty-eight thousand, nine hundred sixty".