785430432 has 240 divisors, whose sum is σ = 2455215840. Its totient is φ = 246903552.

The previous prime is 785430419. The next prime is 785430463. The reversal of 785430432 is 234034587.

It is a happy number.

785430432 is a `hidden beast` number, since 78 + 543 + 0 + 43 + 2 = 666.

785430432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18265803 + ... + 18265845.

It is an arithmetic number, because the mean of its divisors is an integer number (10230066).

Almost surely, 2^785430432 is an apocalyptic number.

785430432 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 785430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227607920).

785430432 is an abundant number, since it is smaller than the sum of its proper divisors (1669785408).

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

785430432 is an frugal number, since it uses more digits than its factorization.

785430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 785430432 is about 28025.5317879965. The cubic root of 785430432 is about 922.6477098395.

The spelling of 785430432 in words is "seven hundred eighty-five million, four hundred thirty thousand, four hundred thirty-two".