785082432 has 224 divisors, whose sum is σ = 2329891200. Its totient is φ = 232243200.

The previous prime is 785082359. The next prime is 785082443. The reversal of 785082432 is 234280587.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4337382 + ... + 4337562.

It is an arithmetic number, because the mean of its divisors is an integer number (10401300).

Almost surely, 2^785082432 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 785082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164945600).

785082432 is an abundant number, since it is smaller than the sum of its proper divisors (1544808768).

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

785082432 is a wasteful number, since it uses less digits than its factorization.

785082432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 785082432 is about 28019.3224757488. The cubic root of 785082432 is about 922.5114241283.

The spelling of 785082432 in words is "seven hundred eighty-five million, eighty-two thousand, four hundred thirty-two".