785533248 has 112 divisors (see below), whose sum is σ = 2337572160. Its totient is φ = 258642432.

The previous prime is 785533223. The next prime is 785533249. The reversal of 785533248 is 842335587.

785533248 is a `hidden beast` number, since 78 + 5 + 533 + 2 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785533249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140686 + ... + 146162.

It is an arithmetic number, because the mean of its divisors is an integer number (20871180).

Almost surely, 2^785533248 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 785533248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168786080).

785533248 is an abundant number, since it is smaller than the sum of its proper divisors (1552038912).

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

785533248 is a wasteful number, since it uses less digits than its factorization.

785533248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5581 (or 5565 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 785533248 is about 28027.3660553396. The cubic root of 785533248 is about 922.6879675140.

The spelling of 785533248 in words is "seven hundred eighty-five million, five hundred thirty-three thousand, two hundred forty-eight".