768312 has 32 divisors (see below), whose sum is σ = 2134800. Its totient is φ = 256032.

The previous prime is 768301. The next prime is 768319. The reversal of 768312 is 213867.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1563 + ... + 1994.

2⁷⁶⁸³¹² is an apocalyptic number.

768312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

768312 is an abundant number, since it is smaller than the sum of its proper divisors (1366488).

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

768312 is a wasteful number, since it uses less digits than its factorization.

768312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3562 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 768312 is about 876.5340837640. The cubic root of 768312 is about 91.5895387963.

The spelling of 768312 in words is "seven hundred sixty-eight thousand, three hundred twelve".