785824480 has 48 divisors (see below), whose sum is σ = 2121729120. Its totient is φ = 269425152.

The previous prime is 785824453. The next prime is 785824489. The reversal of 785824480 is 84428587.

It is a happy number.

It is a super-2 number, since 2×785824480² = 1235040226734540800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 785824480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785824489) 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 7 ways as a sum of consecutive naturals, for example, 349695 + ... + 351934.

It is an arithmetic number, because the mean of its divisors is an integer number (44202690).

Almost surely, 2^785824480 is an apocalyptic number.

785824480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

785824480 is an abundant number, since it is smaller than the sum of its proper divisors (1335904640).

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

785824480 is a wasteful number, since it uses less digits than its factorization.

785824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701651 (or 701643 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The square root of 785824480 is about 28032.5610674444. The cubic root of 785824480 is about 922.8019805369.

The spelling of 785824480 in words is "seven hundred eighty-five million, eight hundred twenty-four thousand, four hundred eighty".