8200025280 has 224 divisors, whose sum is σ = 29287500480. Its totient is φ = 2186486784.

The previous prime is 8200025227. The next prime is 8200025287. The reversal of 8200025280 is 825200028.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8200025287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693982 + ... + 705698.

It is an arithmetic number, because the mean of its divisors is an integer number (130747770).

Almost surely, 2^8200025280 is an apocalyptic number.

8200025280 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 8200025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14643750240).

8200025280 is an abundant number, since it is smaller than the sum of its proper divisors (21087475200).

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

8200025280 is an equidigital number, since it uses as much as digits as its factorization.

8200025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11755 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8200025280 is about 90553.9909667155. The cubic root of 8200025280 is about 2016.5317474871.

The spelling of 8200025280 in words is "eight billion, two hundred million, twenty-five thousand, two hundred eighty".