8001404775 has 180 divisors, whose sum is σ = 18570420792. Its totient is φ = 3375872640.

The previous prime is 8001404737. The next prime is 8001404777. The reversal of 8001404775 is 5774041008.

It is not a de Polignac number, because 8001404775 - 2²⁶ = 7934295911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001404777) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1286824 + ... + 1293026.

Almost surely, 2^8001404775 is an apocalyptic number.

8001404775 is an abundant number, since it is smaller than the sum of its proper divisors (10569016017).

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

8001404775 is a wasteful number, since it uses less digits than its factorization.

8001404775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 8001404775 is about 89450.5716862670. The cubic root of 8001404775 is about 2000.1170577319.

The spelling of 8001404775 in words is "eight billion, one million, four hundred four thousand, seven hundred seventy-five".