768552 has 32 divisors (see below), whose sum is σ = 1985280. Its totient is φ = 247680.

The previous prime is 768541. The next prime is 768563. The reversal of 768552 is 255867.

It is a happy number.

768552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (768541) and next prime (768563).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (62040).

2⁷⁶⁸⁵⁵² 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 768552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992640).

768552 is an abundant number, since it is smaller than the sum of its proper divisors (1216728).

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

768552 is a wasteful number, since it uses less digits than its factorization.

768552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 768552 is about 876.6709759083. The cubic root of 768552 is about 91.5990745061.

The spelling of 768552 in words is "seven hundred sixty-eight thousand, five hundred fifty-two".