820804608 has 396 divisors, whose sum is σ = 2805012288. Its totient is φ = 230031360.

The previous prime is 820804583. The next prime is 820804681. The reversal of 820804608 is 806408028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26477553 + ... + 26477583.

Almost surely, 2^820804608 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 820804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402506144).

820804608 is an abundant number, since it is smaller than the sum of its proper divisors (1984207680).

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

820804608 is a wasteful number, since it uses less digits than its factorization.

820804608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 820804608 is about 28649.6877469895. The cubic root of 820804608 is about 936.2962025514.

The spelling of 820804608 in words is "eight hundred twenty million, eight hundred four thousand, six hundred eight".