785528640 has 168 divisors, whose sum is σ = 2909867688. Its totient is φ = 193351680.

The previous prime is 785528633. The next prime is 785528641. The reversal of 785528640 is 46825587.

785528640 is a `hidden beast` number, since 7 + 85 + 528 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13133376 + 772395264 = 3624^2 + 27792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785528641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26950 + ... + 47930.

It is an arithmetic number, because the mean of its divisors is an integer number (17320641).

Almost surely, 2^785528640 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 785528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454933844).

785528640 is an abundant number, since it is smaller than the sum of its proper divisors (2124339048).

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

785528640 is a wasteful number, since it uses less digits than its factorization.

785528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21017 (or 21004 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 785528640 is about 28027.2838498489. The cubic root of 785528640 is about 922.6861633237.

The spelling of 785528640 in words is "seven hundred eighty-five million, five hundred twenty-eight thousand, six hundred forty".