785313640 has 64 divisors (see below), whose sum is σ = 1876251600. Its totient is φ = 294801408.

The previous prime is 785313619. The next prime is 785313653. The reversal of 785313640 is 46313587.

It can be written as a sum of positive squares in 8 ways, for example, as 657307044 + 128006596 = 25638^2 + 11314^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 785313640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268506 + ... + 271414.

Almost surely, 2^785313640 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 785313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938125800).

785313640 is an abundant number, since it is smaller than the sum of its proper divisors (1090937960).

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

785313640 is a wasteful number, since it uses less digits than its factorization.

785313640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 785313640 is about 28023.4480390975. The cubic root of 785313640 is about 922.6019755905.

The spelling of 785313640 in words is "seven hundred eighty-five million, three hundred thirteen thousand, six hundred forty".