785253120 has 288 divisors, whose sum is σ = 2776177152. Its totient is φ = 188153856.

The previous prime is 785253107. The next prime is 785253149. The reversal of 785253120 is 21352587.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501179 + ... + 1501701.

It is an arithmetic number, because the mean of its divisors is an integer number (9639504).

Almost surely, 2^785253120 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 785253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388088576).

785253120 is an abundant number, since it is smaller than the sum of its proper divisors (1990924032).

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

785253120 is a wasteful number, since it uses less digits than its factorization.

785253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 785253120 is about 28022.3682082725. The cubic root of 785253120 is about 922.5782749512.

The spelling of 785253120 in words is "seven hundred eighty-five million, two hundred fifty-three thousand, one hundred twenty".