8279754880 has 64 divisors (see below), whose sum is σ = 19848286080. Its totient is φ = 3302784000.

The previous prime is 8279754839. The next prime is 8279754929. The reversal of 8279754880 is 884579728.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217255 + ... + 252505.

It is an arithmetic number, because the mean of its divisors is an integer number (310129470).

Almost surely, 2^8279754880 is an apocalyptic number.

8279754880 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 8279754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9924143040).

8279754880 is an abundant number, since it is smaller than the sum of its proper divisors (11568531200).

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

8279754880 is a wasteful number, since it uses less digits than its factorization.

8279754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35637 (or 35625 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 58.

The square root of 8279754880 is about 90993.1584241365. The cubic root of 8279754880 is about 2023.0463201750.

The spelling of 8279754880 in words is "eight billion, two hundred seventy-nine million, seven hundred fifty-four thousand, eight hundred eighty".