820956708 has 360 divisors, whose sum is σ = 2678417280. Its totient is φ = 217002240.

The previous prime is 820956701. The next prime is 820956709. The reversal of 820956708 is 807659028.

820956708 is a `hidden beast` number, since 82 + 0 + 9 + 567 + 0 + 8 = 666.

820956708 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (820956701) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17467141 + ... + 17467187.

It is an arithmetic number, because the mean of its divisors is an integer number (7440048).

Almost surely, 2^820956708 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 820956708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339208640).

820956708 is an abundant number, since it is smaller than the sum of its proper divisors (1857460572).

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

820956708 is a wasteful number, since it uses less digits than its factorization.

820956708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 820956708 is about 28652.3421032208. The cubic root of 820956708 is about 936.3540327404.

The spelling of 820956708 in words is "eight hundred twenty million, nine hundred fifty-six thousand, seven hundred eight".