768500 has 48 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 291200.

The previous prime is 768491. The next prime is 768503. The reversal of 768500 is 5867.

It can be written as a sum of positive squares in 8 ways, for example, as 163216 + 605284 = 404^2 + 778^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 768500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768503) by changing a digit.

768500 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14474 + ... + 14526.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁷⁶⁸⁵⁰⁰ 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 768500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884520).

768500 is an abundant number, since it is smaller than the sum of its proper divisors (1000540).

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

768500 is a wasteful number, since it uses less digits than its factorization.

768500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 768500 is about 876.6413177577. The cubic root of 768500 is about 91.5970086042.

The spelling of 768500 in words is "seven hundred sixty-eight thousand, five hundred".