820002576 has 80 divisors (see below), whose sum is σ = 2216921600. Its totient is φ = 260858880.

The previous prime is 820002571. The next prime is 820002611. The reversal of 820002576 is 675200028.

It is not an unprimeable number, because it can be changed into a prime (820002571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104850 + ... + 112398.

It is an arithmetic number, because the mean of its divisors is an integer number (27711520).

Almost surely, 2^820002576 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 820002576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108460800).

820002576 is an abundant number, since it is smaller than the sum of its proper divisors (1396919024).

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

820002576 is a wasteful number, since it uses less digits than its factorization.

820002576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 820002576 is about 28635.6871054284. The cubic root of 820002576 is about 935.9911424394.

The spelling of 820002576 in words is "eight hundred twenty million, two thousand, five hundred seventy-six".