768553 has 8 divisors (see below), whose sum is σ = 830088. Its totient is φ = 708864.

The previous prime is 768541. The next prime is 768563. The reversal of 768553 is 355867.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 660969 = 328^2 + 813^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 768553 - 2⁹ = 768041 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768503) 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 7 ways as a sum of consecutive naturals, for example, 475 + ... + 1327.

It is an arithmetic number, because the mean of its divisors is an integer number (103761).

2⁷⁶⁸⁵⁵³ is an apocalyptic number.

It is an amenable number.

768553 is a deficient number, since it is larger than the sum of its proper divisors (61535).

768553 is a wasteful number, since it uses less digits than its factorization.

768553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923.

The product of its digits is 25200, while the sum is 34.

The square root of 768553 is about 876.6715462475. The cubic root of 768553 is about 91.5991142341.

Subtracting from 768553 its reverse (355867), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 768553 in words is "seven hundred sixty-eight thousand, five hundred fifty-three".