8098075440 has 800 divisors, whose sum is σ = 35813707776. Its totient is φ = 1649756160.

The previous prime is 8098075439. The next prime is 8098075441. The reversal of 8098075440 is 445708908.

It is an interprime number because it is at equal distance from previous prime (8098075439) and next prime (8098075441).

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

It is not an unprimeable number, because it can be changed into a prime (8098075441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18279859 + ... + 18280301.

Almost surely, 2^8098075440 is an apocalyptic number.

8098075440 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 8098075440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17906853888).

8098075440 is an abundant number, since it is smaller than the sum of its proper divisors (27715632336).

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

8098075440 is a wasteful number, since it uses less digits than its factorization.

8098075440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

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

The square root of 8098075440 is about 89989.3073648197. The cubic root of 8098075440 is about 2008.1397803786.

The spelling of 8098075440 in words is "eight billion, ninety-eight million, seventy-five thousand, four hundred forty".