807768 has 48 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 248256.

The previous prime is 807757. The next prime is 807787. The reversal of 807768 is 867708.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 807768.

It is an unprimeable number.

807768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁸⁰⁷⁷⁶⁸ 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 807768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

807768 is an abundant number, since it is smaller than the sum of its proper divisors (1550952).

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

807768 is a wasteful number, since it uses less digits than its factorization.

807768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 807768 is about 898.7591445988. The cubic root of 807768 is about 93.1312748951.

The spelling of 807768 in words is "eight hundred seven thousand, seven hundred sixty-eight".