8252838720 has 252 divisors, whose sum is σ = 33021393444. Its totient is φ = 1886330880.

The previous prime is 8252838719. The next prime is 8252838793. The reversal of 8252838720 is 278382528.

It can be written as a sum of positive squares in 2 ways, for example, as 6024243456 + 2228595264 = 77616^2 + 47208^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111880 + ... + 170360.

Almost surely, 2^8252838720 is an apocalyptic number.

8252838720 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 8252838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510696722).

8252838720 is an abundant number, since it is smaller than the sum of its proper divisors (24768554724).

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

8252838720 is a wasteful number, since it uses less digits than its factorization.

8252838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58518 (or 58498 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8252838720 is about 90845.1359182207. The cubic root of 8252838720 is about 2020.8517402775.

The spelling of 8252838720 in words is "eight billion, two hundred fifty-two million, eight hundred thirty-eight thousand, seven hundred twenty".