7655440 has 80 divisors (see below), whose sum is σ = 20342448. Its totient is φ = 2654208.

The previous prime is 7655429. The next prime is 7655443. The reversal of 7655440 is 445567.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 853776 + 6801664 = 924^2 + 2608^2 .

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (7655443) 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, 17464 + ... + 17896.

Almost surely, 2^7655440 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 7655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171224).

7655440 is an abundant number, since it is smaller than the sum of its proper divisors (12687008).

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

7655440 is a wasteful number, since it uses less digits than its factorization.

7655440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 7655440 is about 2766.8465804956. The cubic root of 7655440 is about 197.0864282742.

It can be divided in two parts, 765 and 5440, that multiplied together give a square (4161600 = 2040²).

The spelling of 7655440 in words is "seven million, six hundred fifty-five thousand, four hundred forty".