785257992 has 96 divisors (see below), whose sum is σ = 2260814400. Its totient is φ = 245524608.

The previous prime is 785257987. The next prime is 785257997. The reversal of 785257992 is 299752587.

It is an interprime number because it is at equal distance from previous prime (785257987) and next prime (785257997).

It is a super-2 number, since 2×785257992² = 1233260227999744128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (785257997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138118 + ... + 143690.

It is an arithmetic number, because the mean of its divisors is an integer number (23550150).

Almost surely, 2^785257992 is an apocalyptic number.

785257992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785257992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130407200).

785257992 is an abundant number, since it is smaller than the sum of its proper divisors (1475556408).

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

785257992 is a wasteful number, since it uses less digits than its factorization.

785257992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5700 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 785257992 is about 28022.4551386919. The cubic root of 785257992 is about 922.5801829526.

The spelling of 785257992 in words is "seven hundred eighty-five million, two hundred fifty-seven thousand, nine hundred ninety-two".