807936 has 44 divisors (see below), whose sum is σ = 2161632. Its totient is φ = 268288.

The previous prime is 807931. The next prime is 807941. The reversal of 807936 is 639708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (807931) and next prime (807941).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 807897 and 807906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2941 + ... + 3203.

It is an arithmetic number, because the mean of its divisors is an integer number (49128).

2⁸⁰⁷⁹³⁶ 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 807936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080816).

807936 is an abundant number, since it is smaller than the sum of its proper divisors (1353696).

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

807936 is a wasteful number, since it uses less digits than its factorization.

807936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 807936 is about 898.8526019320. The cubic root of 807936 is about 93.1377309442.

The spelling of 807936 in words is "eight hundred seven thousand, nine hundred thirty-six".