8172809280 has 336 divisors, whose sum is σ = 29647310784. Its totient is φ = 2142443520.

The previous prime is 8172809263. The next prime is 8172809291. The reversal of 8172809280 is 829082718.

It is a happy number.

It is a super-3 number, since 3×8172809280³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4742499 + ... + 4744221.

It is an arithmetic number, because the mean of its divisors is an integer number (88236044).

Almost surely, 2^8172809280 is an apocalyptic number.

8172809280 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 8172809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823655392).

8172809280 is an abundant number, since it is smaller than the sum of its proper divisors (21474501504).

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

8172809280 is a wasteful number, since it uses less digits than its factorization.

8172809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 8172809280 is about 90403.5910791159. The cubic root of 8172809280 is about 2014.2983089169.

The spelling of 8172809280 in words is "eight billion, one hundred seventy-two million, eight hundred nine thousand, two hundred eighty".