786464 has 24 divisors (see below), whose sum is σ = 1770048. Its totient is φ = 336960.

The previous prime is 786449. The next prime is 786469. The reversal of 786464 is 464687.

It is not an unprimeable number, because it can be changed into a prime (786469) by changing a digit.

786464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1532 + ... + 1979.

It is an arithmetic number, because the mean of its divisors is an integer number (73752).

786464 is a Friedman number, since it can be written as 8*6*(4^7+4/6), using all its digits and the basic arithmetic operations.

2⁷⁸⁶⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

786464 is an abundant number, since it is smaller than the sum of its proper divisors (983584).

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

786464 is a wasteful number, since it uses less digits than its factorization.

786464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3520 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 786464 is about 886.8280554876. The cubic root of 786464 is about 92.3052244354.

The spelling of 786464 in words is "seven hundred eighty-six thousand, four hundred sixty-four".