768001 has 4 divisors (see below), whose sum is σ = 827092. Its totient is φ = 708912.

The previous prime is 767957. The next prime is 768013. The reversal of 768001 is 100867.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100867 = 13 ⋅7759.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 638401 = 360^2 + 799^2 .

It is a cyclic number.

It is not a de Polignac number, because 768001 - 2⁹ = 767489 is a prime.

It is a Duffinian number.

768001 is a lucky number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (768041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29526 + ... + 29551.

It is an arithmetic number, because the mean of its divisors is an integer number (206773).

It is a Proth number, since it is equal to 375 ⋅ 2¹¹ + 1 and 375 < 2¹¹.

2⁷⁶⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

768001 is a deficient number, since it is larger than the sum of its proper divisors (59091).

768001 is a wasteful number, since it uses less digits than its factorization.

768001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59090.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 768001 is about 876.3566625524. The cubic root of 768001 is about 91.5771791513.

Adding to 768001 its reverse (100867), we get a palindrome (868868).

The spelling of 768001 in words is "seven hundred sixty-eight thousand, one".