820066500 has 144 divisors (see below), whose sum is σ = 2822391936. Its totient is φ = 198792000.

The previous prime is 820066469. The next prime is 820066549. The reversal of 820066500 is 5660028.

820066500 is a `hidden beast` number, since 8 + 2 + 0 + 0 + 6 + 650 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41217 + ... + 57783.

It is an arithmetic number, because the mean of its divisors is an integer number (19599944).

Almost surely, 2^820066500 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 820066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411195968).

820066500 is an abundant number, since it is smaller than the sum of its proper divisors (2002325436).

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

820066500 is a wasteful number, since it uses less digits than its factorization.

820066500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16603 (or 16588 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 820066500 is about 28636.8032433790. The cubic root of 820066500 is about 936.0154638033.

The spelling of 820066500 in words is "eight hundred twenty million, sixty-six thousand, five hundred".