785330640 has 200 divisors, whose sum is σ = 2888420040. Its totient is φ = 197074944.

The previous prime is 785330639. The next prime is 785330641. The reversal of 785330640 is 46033587.

It is a happy number.

785330640 is a `hidden beast` number, since 7 + 8 + 5 + 3 + 3 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (785330639) and next prime (785330641).

It can be written as a sum of positive squares in 4 ways, for example, as 205291584 + 580039056 = 14328^2 + 24084^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 785330595 and 785330604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785330641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106596 + ... + 113724.

Almost surely, 2^785330640 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 785330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444210020).

785330640 is an abundant number, since it is smaller than the sum of its proper divisors (2103089400).

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

785330640 is a wasteful number, since it uses less digits than its factorization.

785330640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7171 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 785330640 is about 28023.7513548775. The cubic root of 785330640 is about 922.6086328544.

The spelling of 785330640 in words is "seven hundred eighty-five million, three hundred thirty thousand, six hundred forty".