8203068720 has 1280 divisors, whose sum is σ = 38214696960. Its totient is φ = 1567641600.

The previous prime is 8203068697. The next prime is 8203068739. The reversal of 8203068720 is 278603028.

It is a happy number.

It is a super-3 number, since 3×8203068720³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 190769019 + ... + 190769061.

It is an arithmetic number, because the mean of its divisors is an integer number (29855232).

Almost surely, 2^8203068720 is an apocalyptic number.

8203068720 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 8203068720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19107348480).

8203068720 is an abundant number, since it is smaller than the sum of its proper divisors (30011628240).

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

8203068720 is a wasteful number, since it uses less digits than its factorization.

8203068720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8203068720 is about 90570.7939680336. The cubic root of 8203068720 is about 2016.7811952654.

The spelling of 8203068720 in words is "eight billion, two hundred three million, sixty-eight thousand, seven hundred twenty".