8300068920 has 512 divisors, whose sum is σ = 32784998400. Its totient is φ = 1841356800.

The previous prime is 8300068913. The next prime is 8300068943. The reversal of 8300068920 is 298600038.

It is a super-2 number, since 2×8300068920² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34440000 + ... + 34440240.

It is an arithmetic number, because the mean of its divisors is an integer number (64033200).

Almost surely, 2^8300068920 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 8300068920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392499200).

8300068920 is an abundant number, since it is smaller than the sum of its proper divisors (24484929480).

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

8300068920 is a wasteful number, since it uses less digits than its factorization.

8300068920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8300068920 is about 91104.7140382977. The cubic root of 8300068920 is about 2024.6994560823.

Adding to 8300068920 its reverse (298600038), we get a palindrome (8598668958).

The spelling of 8300068920 in words is "eight billion, three hundred million, sixty-eight thousand, nine hundred twenty".