807696 has 60 divisors (see below), whose sum is σ = 2321280. Its totient is φ = 262080.

The previous prime is 807689. The next prime is 807707. The reversal of 807696 is 696708.

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 a self number, because there is not a number n which added to its sum of digits gives 807696.

It is an unprimeable number.

807696 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10185 + ... + 10263.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

2⁸⁰⁷⁶⁹⁶ 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 807696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160640).

807696 is an abundant number, since it is smaller than the sum of its proper divisors (1513584).

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

807696 is a wasteful number, since it uses less digits than its factorization.

807696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 807696 is about 898.7190884809. The cubic root of 807696 is about 93.1285077429.

It can be divided in two parts, 80 and 7696, that added together give a 5-th power (7776 = 6⁵).

The spelling of 807696 in words is "eight hundred seven thousand, six hundred ninety-six".