820680448 has 72 divisors (see below), whose sum is σ = 1884747872. Its totient is φ = 349360128.

The previous prime is 820680403. The next prime is 820680463. The reversal of 820680448 is 844086028.

It is a self number, because there is not a number n which added to its sum of digits gives 820680448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279886 + ... + 282802.

Almost surely, 2^820680448 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 820680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942373936).

820680448 is an abundant number, since it is smaller than the sum of its proper divisors (1064067424).

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

820680448 is a wasteful number, since it uses less digits than its factorization.

820680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 820680448 is about 28647.5208002368. The cubic root of 820680448 is about 936.2489901790.

It can be divided in two parts, 820680 and 448, that added together give a palindrome (821128).

The spelling of 820680448 in words is "eight hundred twenty million, six hundred eighty thousand, four hundred forty-eight".