768066 has 32 divisors (see below), whose sum is σ = 1700160. Its totient is φ = 229824.

The previous prime is 768059. The next prime is 768073. The reversal of 768066 is 660867.

It is an interprime number because it is at equal distance from previous prime (768059) and next prime (768073).

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3240 + ... + 3468.

It is an arithmetic number, because the mean of its divisors is an integer number (53130).

2⁷⁶⁸⁰⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850080).

768066 is an abundant number, since it is smaller than the sum of its proper divisors (932094).

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

768066 is a wasteful number, since it uses less digits than its factorization.

768066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 768066 is about 876.3937471251. The cubic root of 768066 is about 91.5797626326.

The spelling of 768066 in words is "seven hundred sixty-eight thousand, sixty-six".