7730640 has 100 divisors (see below), whose sum is σ = 26872164. Its totient is φ = 2059776.

The previous prime is 7730623. The next prime is 7730651. The reversal of 7730640 is 460377.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 4359744 = 1836^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5884 + ... + 7076.

Almost surely, 2^7730640 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 7730640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436082).

7730640 is an abundant number, since it is smaller than the sum of its proper divisors (19141524).

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

7730640 is a wasteful number, since it uses less digits than its factorization.

7730640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 7730640 is about 2780.4028485095. The cubic root of 7730640 is about 197.7296586027.

The spelling of 7730640 in words is "seven million, seven hundred thirty thousand, six hundred forty".