7641840 has 80 divisors (see below), whose sum is σ = 25096608. Its totient is φ = 1916928.

The previous prime is 7641839. The next prime is 7641847. The reversal of 7641840 is 481467.

7641840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7641798 and 7641807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7641847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3144 + ... + 5016.

Almost surely, 2^7641840 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 7641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548304).

7641840 is an abundant number, since it is smaller than the sum of its proper divisors (17454768).

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

7641840 is a wasteful number, since it uses less digits than its factorization.

7641840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7641840 is about 2764.3878164975. The cubic root of 7641840 is about 196.9696501297.

The spelling of 7641840 in words is "seven million, six hundred forty-one thousand, eight hundred forty".