7728690 has 48 divisors (see below), whose sum is σ = 19430208. Its totient is φ = 1967328.

The previous prime is 7728689. The next prime is 7728697. The reversal of 7728690 is 968277.

It is a super-2 number, since 2×7728690² = 119465298232200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15627 + ... + 16113.

It is an arithmetic number, because the mean of its divisors is an integer number (404796).

Almost surely, 2^7728690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7728690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9715104).

7728690 is an abundant number, since it is smaller than the sum of its proper divisors (11701518).

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

7728690 is a wasteful number, since it uses less digits than its factorization.

7728690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7728690 is about 2780.0521577841. The cubic root of 7728690 is about 197.7130318957.

The spelling of 7728690 in words is "seven million, seven hundred twenty-eight thousand, six hundred ninety".