8252772480 has 320 divisors, whose sum is σ = 29620059480. Its totient is φ = 2189721600.

The previous prime is 8252772467. The next prime is 8252772491. The reversal of 8252772480 is 842772528.

8252772480 is a `hidden beast` number, since 82 + 5 + 27 + 72 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8243187264 + 9585216 = 90792^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20580280 + ... + 20580680.

Almost surely, 2^8252772480 is an apocalyptic number.

8252772480 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 8252772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810029740).

8252772480 is an abundant number, since it is smaller than the sum of its proper divisors (21367287000).

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

8252772480 is a wasteful number, since it uses less digits than its factorization.

8252772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 8252772480 is about 90844.7713410078. The cubic root of 8252772480 is about 2020.8463335893.

The spelling of 8252772480 in words is "eight billion, two hundred fifty-two million, seven hundred seventy-two thousand, four hundred eighty".