8457800 has 48 divisors (see below), whose sum is σ = 21183540. Its totient is φ = 3121920.

The previous prime is 8457781. The next prime is 8457803. The reversal of 8457800 is 87548.

It can be written as a sum of positive squares in 6 ways, for example, as 4401604 + 4056196 = 2098^2 + 2014^2 .

It is not an unprimeable number, because it can be changed into a prime (8457803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 974 + ... + 4226.

Almost surely, 2^8457800 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 8457800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591770).

8457800 is an abundant number, since it is smaller than the sum of its proper divisors (12725740).

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

8457800 is a wasteful number, since it uses less digits than its factorization.

8457800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 8457800 is about 2908.2297020696. The cubic root of 8457800 is about 203.7444576760.

The spelling of 8457800 in words is "eight million, four hundred fifty-seven thousand, eight hundred".