8305020000 has 720 divisors, whose sum is σ = 32084292240. Its totient is φ = 2032128000.

The previous prime is 8305019993. The next prime is 8305020019. The reversal of 8305020000 is 205038.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×8305020000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 193139979 + ... + 193140021.

It is an arithmetic number, because the mean of its divisors is an integer number (44561517).

Almost surely, 2^8305020000 is an apocalyptic number.

8305020000 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 8305020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042146120).

8305020000 is an abundant number, since it is smaller than the sum of its proper divisors (23779272240).

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

8305020000 is a wasteful number, since it uses less digits than its factorization.

8305020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 8305020000 is about 91131.8824561415. The cubic root of 8305020000 is about 2025.1019610298.

Adding to 8305020000 its reverse (205038), we get a palindrome (8305225038).

The spelling of 8305020000 in words is "eight billion, three hundred five million, twenty thousand".