8301783840 has 288 divisors, whose sum is σ = 30529820160. Its totient is φ = 1890717696.

The previous prime is 8301783839. The next prime is 8301783857. The reversal of 8301783840 is 483871038.

It is a super-2 number, since 2×8301783840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8301783792 and 8301783801.

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 47 ways as a sum of consecutive naturals, for example, 9619249 + ... + 9620111.

It is an arithmetic number, because the mean of its divisors is an integer number (106006320).

Almost surely, 2^8301783840 is an apocalyptic number.

8301783840 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 8301783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264910080).

8301783840 is an abundant number, since it is smaller than the sum of its proper divisors (22228036320).

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

8301783840 is a wasteful number, since it uses less digits than its factorization.

8301783840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8301783840 is about 91114.1253593536. The cubic root of 8301783840 is about 2024.8388910081.

The spelling of 8301783840 in words is "eight billion, three hundred one million, seven hundred eighty-three thousand, eight hundred forty".