8217452880 has 1440 divisors, whose sum is σ = 38900010240. Its totient is φ = 1532805120.

The previous prime is 8217452879. The next prime is 8217452897. The reversal of 8217452880 is 882547128.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 200425660 + ... + 200425700.

It is an arithmetic number, because the mean of its divisors is an integer number (27013896).

Almost surely, 2^8217452880 is an apocalyptic number.

8217452880 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 8217452880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450005120).

8217452880 is an abundant number, since it is smaller than the sum of its proper divisors (30682557360).

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

8217452880 is a wasteful number, since it uses less digits than its factorization.

8217452880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 8217452880 is about 90650.1675674127. The cubic root of 8217452880 is about 2017.9593219975.

The spelling of 8217452880 in words is "eight billion, two hundred seventeen million, four hundred fifty-two thousand, eight hundred eighty".