828807 has 16 divisors (see below), whose sum is σ = 1285632. Its totient is φ = 465120.

The previous prime is 828797. The next prime is 828809. The reversal of 828807 is 708828.

828807 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 828807 - 2⁶ = 828743 is a prime.

It is an Ulam number.

828807 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828809) 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, 958 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

2⁸²⁸⁸⁰⁷ is an apocalyptic number.

828807 is a deficient number, since it is larger than the sum of its proper divisors (456825).

828807 is a wasteful number, since it uses less digits than its factorization.

828807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718.

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 828807 is about 910.3883786604. The cubic root of 828807 is about 93.9329157695.

The spelling of 828807 in words is "eight hundred twenty-eight thousand, eight hundred seven".