820704 has 48 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 267648.

The previous prime is 820691. The next prime is 820711. The reversal of 820704 is 407028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

820704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7917 + ... + 8019.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2⁸²⁰⁷⁰⁴ 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 820704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

820704 is an abundant number, since it is smaller than the sum of its proper divisors (1380768).

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

820704 is a wasteful number, since it uses less digits than its factorization.

820704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 820704 is about 905.9271493890. The cubic root of 820704 is about 93.6257946294.

The spelling of 820704 in words is "eight hundred twenty thousand, seven hundred four".