8445790080 has 1024 divisors, whose sum is σ = 38000793600. Its totient is φ = 1725235200.

The previous prime is 8445790079. The next prime is 8445790099. The reversal of 8445790080 is 800975448.

It is a super-3 number, since 3×8445790080³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64471615 + ... + 64471745.

It is an arithmetic number, because the mean of its divisors is an integer number (37110150).

Almost surely, 2^8445790080 is an apocalyptic number.

8445790080 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 8445790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19000396800).

8445790080 is an abundant number, since it is smaller than the sum of its proper divisors (29555003520).

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

8445790080 is a wasteful number, since it uses less digits than its factorization.

8445790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8445790080 is about 91900.9797553867. The cubic root of 8445790080 is about 2036.4797420272.

The spelling of 8445790080 in words is "eight billion, four hundred forty-five million, seven hundred ninety thousand, eighty".