768012 has 48 divisors (see below), whose sum is σ = 2107392. Its totient is φ = 213120.

The previous prime is 767957. The next prime is 768013. The reversal of 768012 is 210867.

It is a super-3 number, since 3×768012³ = 1359018197987333184, which contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (768013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3333 + ... + 3555.

It is an arithmetic number, because the mean of its divisors is an integer number (43904).

2⁷⁶⁸⁰¹² 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 768012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053696).

768012 is an abundant number, since it is smaller than the sum of its proper divisors (1339380).

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

768012 is a wasteful number, since it uses less digits than its factorization.

768012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 768012 is about 876.3629385135. The cubic root of 768012 is about 91.5776163661.

Adding to 768012 its reverse (210867), we get a palindrome (978879).

The spelling of 768012 in words is "seven hundred sixty-eight thousand, twelve".