820208820 has 48 divisors (see below), whose sum is σ = 2311239168. Its totient is φ = 217326720.

The previous prime is 820208729. The next prime is 820208833. The reversal of 820208820 is 28802028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34116 + ... + 52955.

It is an arithmetic number, because the mean of its divisors is an integer number (48150816).

Almost surely, 2^820208820 is an apocalyptic number.

It is an amenable number.

820208820 is an abundant number, since it is smaller than the sum of its proper divisors (1491030348).

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

820208820 is a wasteful number, since it uses less digits than its factorization.

820208820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87240 (or 87238 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 820208820 is about 28639.2880498102. The cubic root of 820208820 is about 936.0696081990.

The spelling of 820208820 in words is "eight hundred twenty million, two hundred eight thousand, eight hundred twenty".