8270009280 has 560 divisors, whose sum is σ = 32126127264. Its totient is φ = 2015539200.

The previous prime is 8270009249. The next prime is 8270009281. The reversal of 8270009280 is 829000728.

It is a super-2 number, since 2×8270009280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8270009281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81881230 + ... + 81881330.

Almost surely, 2^8270009280 is an apocalyptic number.

8270009280 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 8270009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063063632).

8270009280 is an abundant number, since it is smaller than the sum of its proper divisors (23856117984).

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

8270009280 is an equidigital number, since it uses as much as digits as its factorization.

8270009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8270009280 is about 90939.5913780131. The cubic root of 8270009280 is about 2022.2522732903.

The spelling of 8270009280 in words is "eight billion, two hundred seventy million, nine thousand, two hundred eighty".