8057600 has 54 divisors (see below), whose sum is σ = 19959660. Its totient is φ = 3220480.

The previous prime is 8057597. The next prime is 8057603. The reversal of 8057600 is 67508.

It is an interprime number because it is at equal distance from previous prime (8057597) and next prime (8057603).

It is a self number, because there is not a number n which added to its sum of digits gives 8057600.

It is not an unprimeable number, because it can be changed into a prime (8057603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5771 + ... + 7029.

Almost surely, 2^8057600 is an apocalyptic number.

8057600 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 8057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979830).

8057600 is an abundant number, since it is smaller than the sum of its proper divisors (11902060).

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

8057600 is a wasteful number, since it uses less digits than its factorization.

8057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 8057600 is about 2838.5911998736. The cubic root of 8057600 is about 200.4788525860.

The spelling of 8057600 in words is "eight million, fifty-seven thousand, six hundred".