786085560 has 192 divisors, whose sum is σ = 2853658080. Its totient is φ = 193466880.

The previous prime is 786085549. The next prime is 786085591. The reversal of 786085560 is 65580687.

786085560 is a `hidden beast` number, since 7 + 8 + 6 + 0 + 85 + 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 47 ways as a sum of consecutive naturals, for example, 123250 + ... + 129470.

Almost surely, 2^786085560 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 786085560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426829040).

786085560 is an abundant number, since it is smaller than the sum of its proper divisors (2067572520).

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

786085560 is a wasteful number, since it uses less digits than its factorization.

786085560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6244 counting only the distinct ones).

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

The square root of 786085560 is about 28037.2174082950. The cubic root of 786085560 is about 922.9041655544.

The spelling of 786085560 in words is "seven hundred eighty-six million, eighty-five thousand, five hundred sixty".