7625600 has 48 divisors (see below), whose sum is σ = 18845520. Its totient is φ = 3048960.

The previous prime is 7625599. The next prime is 7625603. The reversal of 7625600 is 65267.

It is a self number, because there is not a number n which added to its sum of digits gives 7625600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7625603) 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, 2009 + ... + 4391.

It is an arithmetic number, because the mean of its divisors is an integer number (392615).

Almost surely, 2^7625600 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 7625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9422760).

7625600 is an abundant number, since it is smaller than the sum of its proper divisors (11219920).

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

7625600 is a wasteful number, since it uses less digits than its factorization.

7625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 7625600 is about 2761.4488950549. The cubic root of 7625600 is about 196.8300216390.

The spelling of 7625600 in words is "seven million, six hundred twenty-five thousand, six hundred".