8075013408 has 324 divisors, whose sum is σ = 29367808470. Its totient is φ = 2096962560.

The previous prime is 8075013407. The next prime is 8075013461. The reversal of 8075013408 is 8043105708.

It can be written as a sum of positive squares in only one way, i.e., 8033178384 + 41835024 = 89628^2 + 6468^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8075013407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1705188 + ... + 1709916.

Almost surely, 2^8075013408 is an apocalyptic number.

8075013408 is a gapful number since it is divisible by the number (88) 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 8075013408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683904235).

8075013408 is an abundant number, since it is smaller than the sum of its proper divisors (21292795062).

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

8075013408 is a wasteful number, since it uses less digits than its factorization.

8075013408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8075013408 is about 89861.0783821338. The cubic root of 8075013408 is about 2006.2316802473.

The spelling of 8075013408 in words is "eight billion, seventy-five million, thirteen thousand, four hundred eight".