785064456 has 144 divisors (see below), whose sum is σ = 2363715900. Its totient is φ = 235192320.

The previous prime is 785064421. The next prime is 785064473. The reversal of 785064456 is 654460587.

It can be written as a sum of positive squares in 2 ways, for example, as 693479556 + 91584900 = 26334^2 + 9570^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 844600 + ... + 845528.

Almost surely, 2^785064456 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 785064456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181857950).

785064456 is an abundant number, since it is smaller than the sum of its proper divisors (1578651444).

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

785064456 is a wasteful number, since it uses less digits than its factorization.

785064456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 785064456 is about 28019.0016952782. The cubic root of 785064456 is about 922.5043831726.

The spelling of 785064456 in words is "seven hundred eighty-five million, sixty-four thousand, four hundred fifty-six".