785806560 has 576 divisors, whose sum is σ = 3528645120. Its totient is φ = 154275840.

The previous prime is 785806559. The next prime is 785806607. The reversal of 785806560 is 65608587.

785806560 is a `hidden beast` number, since 7 + 8 + 5 + 80 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106534 + ... + 2106906.

It is an arithmetic number, because the mean of its divisors is an integer number (6126120).

Almost surely, 2^785806560 is an apocalyptic number.

785806560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764322560).

785806560 is an abundant number, since it is smaller than the sum of its proper divisors (2742838560).

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

785806560 is a wasteful number, since it uses less digits than its factorization.

785806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 785806560 is about 28032.2414373164. The cubic root of 785806560 is about 922.7949659352.

The spelling of 785806560 in words is "seven hundred eighty-five million, eight hundred six thousand, five hundred sixty".