807820 has 36 divisors (see below), whose sum is σ = 1844640. Its totient is φ = 297024.

The previous prime is 807817. The next prime is 807869. The reversal of 807820 is 28708.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3261 + ... + 3499.

It is an arithmetic number, because the mean of its divisors is an integer number (51240).

2⁸⁰⁷⁸²⁰ 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 807820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922320).

807820 is an abundant number, since it is smaller than the sum of its proper divisors (1036820).

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

807820 is a wasteful number, since it uses less digits than its factorization.

807820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 807820 is about 898.7880729071. The cubic root of 807820 is about 93.1332732917.

The spelling of 807820 in words is "eight hundred seven thousand, eight hundred twenty".