785922048 has 192 divisors, whose sum is σ = 2376410400. Its totient is φ = 256573440.

The previous prime is 785922031. The next prime is 785922073. The reversal of 785922048 is 840229587.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 785921994 and 785922012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3372940 + ... + 3373172.

Almost surely, 2^785922048 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 785922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188205200).

785922048 is an abundant number, since it is smaller than the sum of its proper divisors (1590488352).

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

785922048 is a wasteful number, since it uses less digits than its factorization.

785922048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 785922048 is about 28034.3012754019. The cubic root of 785922048 is about 922.8401706671.

The spelling of 785922048 in words is "seven hundred eighty-five million, nine hundred twenty-two thousand, forty-eight".