768664 has 32 divisors (see below), whose sum is σ = 1638000. Its totient is φ = 335232.

The previous prime is 768653. The next prime is 768671. The reversal of 768664 is 466867.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1782 + ... + 2170.

768664 is a Friedman number, since it can be written as (8^6+6)*4-6^7, using all its digits and the basic arithmetic operations.

2⁷⁶⁸⁶⁶⁴ 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 768664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819000).

768664 is an abundant number, since it is smaller than the sum of its proper divisors (869336).

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

768664 is a wasteful number, since it uses less digits than its factorization.

768664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 768664 is about 876.7348515943. The cubic root of 768664 is about 91.6035238247.

It can be divided in two parts, 7686 and 64, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 768664 in words is "seven hundred sixty-eight thousand, six hundred sixty-four".