768816 has 60 divisors (see below), whose sum is σ = 2272920. Its totient is φ = 241920.

The previous prime is 768811. The next prime is 768841. The reversal of 768816 is 618867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (768811) by changing a digit.

768816 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2596 + ... + 2876.

It is an arithmetic number, because the mean of its divisors is an integer number (37882).

2⁷⁶⁸⁸¹⁶ is an apocalyptic number.

768816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136460).

768816 is an abundant number, since it is smaller than the sum of its proper divisors (1504104).

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

768816 is a wasteful number, since it uses less digits than its factorization.

768816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 768816 is about 876.8215325823. The cubic root of 768816 is about 91.6095614944.

The spelling of 768816 in words is "seven hundred sixty-eight thousand, eight hundred sixteen".