8279905920 has 512 divisors, whose sum is σ = 31646764800. Its totient is φ = 1814691840.

The previous prime is 8279905919. The next prime is 8279905961. The reversal of 8279905920 is 295099728.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14551396 + ... + 14551964.

Almost surely, 2^8279905920 is an apocalyptic number.

8279905920 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 8279905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823382400).

8279905920 is an abundant number, since it is smaller than the sum of its proper divisors (23366858880).

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

8279905920 is a wasteful number, since it uses less digits than its factorization.

8279905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 8279905920 is about 90993.9883728590. The cubic root of 8279905920 is about 2023.0586216285.

The spelling of 8279905920 in words is "eight billion, two hundred seventy-nine million, nine hundred five thousand, nine hundred twenty".