820298808 has 288 divisors, whose sum is σ = 2722552560. Its totient is φ = 222243840.

The previous prime is 820298803. The next prime is 820298821. The reversal of 820298808 is 808892028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820298803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7666291 + ... + 7666397.

Almost surely, 2^820298808 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 820298808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361276280).

820298808 is an abundant number, since it is smaller than the sum of its proper divisors (1902253752).

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

820298808 is a wasteful number, since it uses less digits than its factorization.

820298808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 820298808 is about 28640.8590653283. The cubic root of 820298808 is about 936.1038401122.

The spelling of 820298808 in words is "eight hundred twenty million, two hundred ninety-eight thousand, eight hundred eight".