786160 has 40 divisors (see below), whose sum is σ = 1892736. Its totient is φ = 303360.

The previous prime is 786151. The next prime is 786167. The reversal of 786160 is 61687.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2322 + ... + 2638.

2⁷⁸⁶¹⁶⁰ 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 786160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946368).

786160 is an abundant number, since it is smaller than the sum of its proper divisors (1106576).

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

786160 is a wasteful number, since it uses less digits than its factorization.

786160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 786160 is about 886.6566415473. The cubic root of 786160 is about 92.2933296742.

It can be divided in two parts, 7861 and 60, that added together give a square (7921 = 89²).

The spelling of 786160 in words is "seven hundred eighty-six thousand, one hundred sixty".