8279575920 has 640 divisors, whose sum is σ = 36134830080. Its totient is φ = 1692472320.

The previous prime is 8279575919. The next prime is 8279575963. The reversal of 8279575920 is 295759728.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11143069 + ... + 11143811.

It is an arithmetic number, because the mean of its divisors is an integer number (56460672).

Almost surely, 2^8279575920 is an apocalyptic number.

8279575920 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 8279575920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18067415040).

8279575920 is an abundant number, since it is smaller than the sum of its proper divisors (27855254160).

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

8279575920 is a wasteful number, since it uses less digits than its factorization.

8279575920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 8279575920 is about 90992.1750481875. The cubic root of 8279575920 is about 2023.0317445834.

The spelling of 8279575920 in words is "eight billion, two hundred seventy-nine million, five hundred seventy-five thousand, nine hundred twenty".