7742640 has 40 divisors (see below), whose sum is σ = 24002928. Its totient is φ = 2064640.

The previous prime is 7742593. The next prime is 7742641. The reversal of 7742640 is 462477.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 = 7742598 and 7742607.

It is not an unprimeable number, because it can be changed into a prime (7742641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15891 + ... + 16370.

Almost surely, 2^7742640 is an apocalyptic number.

It is an amenable number.

7742640 is an abundant number, since it is smaller than the sum of its proper divisors (16260288).

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

7742640 is a wasteful number, since it uses less digits than its factorization.

7742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32277 (or 32271 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 7742640 is about 2782.5599723995. The cubic root of 7742640 is about 197.8319153044.

The spelling of 7742640 in words is "seven million, seven hundred forty-two thousand, six hundred forty".