786864 has 60 divisors (see below), whose sum is σ = 2223816. Its totient is φ = 239616.

The previous prime is 786859. The next prime is 786881. The reversal of 786864 is 468687.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8064 + ... + 8160.

786864 is a Friedman number, since it can be written as 8*(6+6*(8+4^7)), using all its digits and the basic arithmetic operations.

2⁷⁸⁶⁸⁶⁴ 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 786864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111908).

786864 is an abundant number, since it is smaller than the sum of its proper divisors (1436952).

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

786864 is a wasteful number, since it uses less digits than its factorization.

786864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 786864 is about 887.0535496801. The cubic root of 786864 is about 92.3208707680.

The spelling of 786864 in words is "seven hundred eighty-six thousand, eight hundred sixty-four".