7897600 has 60 divisors (see below), whose sum is σ = 19598634. Its totient is φ = 3153920.

The previous prime is 7897577. The next prime is 7897601. The reversal of 7897600 is 67987.

7897600 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 3 ways, for example, as 3504384 + 4393216 = 1872^2 + 2096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7897600.

It is not an unprimeable number, because it can be changed into a prime (7897601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12492 + ... + 13108.

Almost surely, 2^7897600 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 7897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9799317).

7897600 is an abundant number, since it is smaller than the sum of its proper divisors (11701034).

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

7897600 is an equidigital number, since it uses as much as digits as its factorization.

7897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 7897600 is about 2810.2668912400. The cubic root of 7897600 is about 199.1429996640.

The spelling of 7897600 in words is "seven million, eight hundred ninety-seven thousand, six hundred".