8457507820 has 96 divisors (see below), whose sum is σ = 19230704640. Its totient is φ = 3112750080.

The previous prime is 8457507811. The next prime is 8457507901. The reversal of 8457507820 is 287057548.

It is a super-2 number, since 2×8457507820² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3165085 + ... + 3167755.

It is an arithmetic number, because the mean of its divisors is an integer number (200319840).

Almost surely, 2^8457507820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8457507820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9615352320).

8457507820 is an abundant number, since it is smaller than the sum of its proper divisors (10773196820).

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

8457507820 is a wasteful number, since it uses less digits than its factorization.

8457507820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 46.

The square root of 8457507820 is about 91964.7096445153. The cubic root of 8457507820 is about 2037.4211148903.

The spelling of 8457507820 in words is "eight billion, four hundred fifty-seven million, five hundred seven thousand, eight hundred twenty".