820700 has 36 divisors (see below), whose sum is σ = 1848840. Its totient is φ = 315840.

The previous prime is 820691. The next prime is 820711. The reversal of 820700 is 7028.

820700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

820700 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 11 ways as a sum of consecutive naturals, for example, 2759 + ... + 3041.

2⁸²⁰⁷⁰⁰ 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 820700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924420).

820700 is an abundant number, since it is smaller than the sum of its proper divisors (1028140).

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

820700 is a wasteful number, since it uses less digits than its factorization.

820700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 820700 is about 905.9249417032. The cubic root of 820700 is about 93.6256425227.

Adding to 820700 its reverse (7028), we get a palindrome (827728).

It can be divided in two parts, 8 and 20700, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 820700 in words is "eight hundred twenty thousand, seven hundred".