8203375440 has 200 divisors, whose sum is σ = 30683510088. Its totient is φ = 2019271680.

The previous prime is 8203375421. The next prime is 8203375463. The reversal of 8203375440 is 445733028.

It is a happy number.

8203375440 is a `hidden beast` number, since 8 + 203 + 3 + 7 + 5 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 744634944 + 7458740496 = 27288^2 + 86364^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8203375395 and 8203375404.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 35550 + ... + 132930.

Almost surely, 2^8203375440 is an apocalyptic number.

8203375440 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 8203375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341755044).

8203375440 is an abundant number, since it is smaller than the sum of its proper divisors (22480134648).

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

8203375440 is a wasteful number, since it uses less digits than its factorization.

8203375440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97419 (or 97404 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 8203375440 is about 90572.4872132813. The cubic root of 8203375440 is about 2016.8063313635.

The spelling of 8203375440 in words is "eight billion, two hundred three million, three hundred seventy-five thousand, four hundred forty".