785085048 has 160 divisors (see below), whose sum is σ = 2429602560. Its totient is φ = 234861120.

The previous prime is 785085047. The next prime is 785085083. The reversal of 785085048 is 840580587.

It is a junction number, because it is equal to n+sod(n) for n = 785084994 and 785085012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785085047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 590961 + ... + 592287.

It is an arithmetic number, because the mean of its divisors is an integer number (15185016).

Almost surely, 2^785085048 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 785085048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214801280).

785085048 is an abundant number, since it is smaller than the sum of its proper divisors (1644517512).

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

785085048 is a wasteful number, since it uses less digits than its factorization.

785085048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 785085048 is about 28019.3691577808. The cubic root of 785085048 is about 922.5124487711.

The spelling of 785085048 in words is "seven hundred eighty-five million, eighty-five thousand, forty-eight".