768564 has 36 divisors (see below), whose sum is σ = 1998724. Its totient is φ = 248832.

The previous prime is 768563. The next prime is 768571. The reversal of 768564 is 465867.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 736164 + 32400 = 858^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768563) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1044 + ... + 1620.

2⁷⁶⁸⁵⁶⁴ is an apocalyptic number.

768564 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999362).

768564 is an abundant number, since it is smaller than the sum of its proper divisors (1230160).

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

768564 is a wasteful number, since it uses less digits than its factorization.

768564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 619 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 768564 is about 876.6778199544. The cubic root of 768564 is about 91.5995512395.

The spelling of 768564 in words is "seven hundred sixty-eight thousand, five hundred sixty-four".