7742436 has 48 divisors (see below), whose sum is σ = 20095488. Its totient is φ = 2304000.

The previous prime is 7742419. The next prime is 7742437. The reversal of 7742436 is 6342477.

7742436 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 7742397 and 7742406.

It is not an unprimeable number, because it can be changed into a prime (7742437) 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, 4036 + ... + 5636.

It is an arithmetic number, because the mean of its divisors is an integer number (418656).

Almost surely, 2^7742436 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 7742436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10047744).

7742436 is an abundant number, since it is smaller than the sum of its proper divisors (12353052).

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

7742436 is a wasteful number, since it uses less digits than its factorization.

7742436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1650 counting only the distinct ones).

The product of its digits is 28224, while the sum is 33.

The square root of 7742436 is about 2782.5233152662. The cubic root of 7742436 is about 197.8301778236.

The spelling of 7742436 in words is "seven million, seven hundred forty-two thousand, four hundred thirty-six".