8005175040 has 144 divisors (see below), whose sum is σ = 25806791808. Its totient is φ = 2114654208.

The previous prime is 8005175039. The next prime is 8005175053. The reversal of 8005175040 is 405715008.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8005174989 and 8005175007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401139 + ... + 420621.

It is an arithmetic number, because the mean of its divisors is an integer number (179213832).

Almost surely, 2^8005175040 is an apocalyptic number.

8005175040 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 8005175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903395904).

8005175040 is an abundant number, since it is smaller than the sum of its proper divisors (17801616768).

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

8005175040 is a wasteful number, since it uses less digits than its factorization.

8005175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19614 (or 19600 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 8005175040 is about 89471.6437761149. The cubic root of 8005175040 is about 2000.4311603770.

The spelling of 8005175040 in words is "eight billion, five million, one hundred seventy-five thousand, forty".