8001600 has 84 divisors (see below), whose sum is σ = 26267664. Its totient is φ = 2132480.

The previous prime is 8001599. The next prime is 8001607. The reversal of 8001600 is 61008.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8001600.

It is not an unprimeable number, because it can be changed into a prime (8001607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3967 + ... + 5633.

Almost surely, 2^8001600 is an apocalyptic number.

8001600 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 8001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13133832).

8001600 is an abundant number, since it is smaller than the sum of its proper divisors (18266064).

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

8001600 is a wasteful number, since it uses less digits than its factorization.

8001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8001600 is about 2828.7099533179. The cubic root of 8001600 is about 200.0133324445.

Adding to 8001600 its reverse (61008), we get a palindrome (8062608).

The spelling of 8001600 in words is "eight million, one thousand, six hundred".