7645440 has 144 divisors (see below), whose sum is σ = 26784576. Its totient is φ = 1843200.

The previous prime is 7645433. The next prime is 7645447. The reversal of 7645440 is 445467.

It is an interprime number because it is at equal distance from previous prime (7645433) and next prime (7645447).

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

It is a junction number, because it is equal to n+sod(n) for n = 7645398 and 7645407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7645447) 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, 42150 + ... + 42330.

It is an arithmetic number, because the mean of its divisors is an integer number (186004).

Almost surely, 2^7645440 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 7645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392288).

7645440 is an abundant number, since it is smaller than the sum of its proper divisors (19139136).

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

7645440 is a wasteful number, since it uses less digits than its factorization.

7645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 7645440 is about 2765.0388785693. The cubic root of 7645440 is about 197.0005754662. Note that the first 3 decimals are identical.

The spelling of 7645440 in words is "seven million, six hundred forty-five thousand, four hundred forty".