8175882420 has 360 divisors, whose sum is σ = 28205160984. Its totient is φ = 1975615488.

The previous prime is 8175882413. The next prime is 8175882439. The reversal of 8175882420 is 242885718.

It is a happy number.

8175882420 is a `hidden beast` number, since 81 + 75 + 8 + 82 + 420 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 902521764 + 7273360656 = 30042^2 + 85284^2 .

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 119 ways as a sum of consecutive naturals, for example, 23160964 + ... + 23161316.

Almost surely, 2^8175882420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8175882420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102580492).

8175882420 is an abundant number, since it is smaller than the sum of its proper divisors (20029278564).

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

8175882420 is a wasteful number, since it uses less digits than its factorization.

8175882420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 8175882420 is about 90420.5862622003. The cubic root of 8175882420 is about 2014.5507494496.

The spelling of 8175882420 in words is "eight billion, one hundred seventy-five million, eight hundred eighty-two thousand, four hundred twenty".