8260820000 has 120 divisors (see below), whose sum is σ = 21393464400. Its totient is φ = 3130272000.

The previous prime is 8260819991. The next prime is 8260820039. The reversal of 8260820000 is 280628.

It is a super-2 number, since 2×8260820000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 369131 + ... + 390869.

It is an arithmetic number, because the mean of its divisors is an integer number (178278870).

Almost surely, 2^8260820000 is an apocalyptic number.

8260820000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8260820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10696732200).

8260820000 is an abundant number, since it is smaller than the sum of its proper divisors (13132644400).

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

8260820000 is a wasteful number, since it uses less digits than its factorization.

8260820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21788 (or 21765 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8260820000 is about 90889.0532462518. The cubic root of 8260820000 is about 2021.5029823328.

The spelling of 8260820000 in words is "eight billion, two hundred sixty million, eight hundred twenty thousand".