807829 has 16 divisors (see below), whose sum is σ = 958464. Its totient is φ = 673200.

The previous prime is 807817. The next prime is 807869. The reversal of 807829 is 928708.

It is a happy number.

807829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 807829 - 2⁵ = 807797 is a prime.

It is a Duffinian number.

807829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 807794 and 807803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7792 + ... + 7894.

It is an arithmetic number, because the mean of its divisors is an integer number (59904).

2⁸⁰⁷⁸²⁹ is an apocalyptic number.

It is an amenable number.

807829 is a deficient number, since it is larger than the sum of its proper divisors (150635).

807829 is a wasteful number, since it uses less digits than its factorization.

807829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 807829 is about 898.7930796351. The cubic root of 807829 is about 93.1336191593.

The spelling of 807829 in words is "eight hundred seven thousand, eight hundred twenty-nine".