7641600 has 120 divisors (see below), whose sum is σ = 25370400. Its totient is φ = 2027520.

The previous prime is 7641533. The next prime is 7641611. The reversal of 7641600 is 61467.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38301 + ... + 38499.

It is an arithmetic number, because the mean of its divisors is an integer number (211420).

Almost surely, 2^7641600 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 7641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12685200).

7641600 is an abundant number, since it is smaller than the sum of its proper divisors (17728800).

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

7641600 is a wasteful number, since it uses less digits than its factorization.

7641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7641600 is about 2764.3444069074. The cubic root of 7641600 is about 196.9675880953.

The spelling of 7641600 in words is "seven million, six hundred forty-one thousand, six hundred".