785234304 has 128 divisors (see below), whose sum is σ = 2357424000. Its totient is φ = 257241600.

The previous prime is 785234293. The next prime is 785234323. The reversal of 785234304 is 403432587.

It is a happy number.

785234304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×785234304³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201979 + ... + 205829.

It is an arithmetic number, because the mean of its divisors is an integer number (18417375).

Almost surely, 2^785234304 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 785234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178712000).

785234304 is an abundant number, since it is smaller than the sum of its proper divisors (1572189696).

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

785234304 is a wasteful number, since it uses less digits than its factorization.

785234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3915 counting only the distinct ones).

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

The square root of 785234304 is about 28022.0324744655. The cubic root of 785234304 is about 922.5709060443.

The spelling of 785234304 in words is "seven hundred eighty-five million, two hundred thirty-four thousand, three hundred four".