785863920 has 80 divisors (see below), whose sum is σ = 2465592192. Its totient is φ = 207033600.

The previous prime is 785863909. The next prime is 785863927. The reversal of 785863920 is 29368587.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 785863920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785863927) 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 15 ways as a sum of consecutive naturals, for example, 195 + ... + 39645.

Almost surely, 2^785863920 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 785863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232796096).

785863920 is an abundant number, since it is smaller than the sum of its proper divisors (1679728272).

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

785863920 is a wasteful number, since it uses less digits than its factorization.

785863920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39550 (or 39544 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 785863920 is about 28033.2645262731. The cubic root of 785863920 is about 922.8174185481.

The spelling of 785863920 in words is "seven hundred eighty-five million, eight hundred sixty-three thousand, nine hundred twenty".