7742406 has 32 divisors (see below), whose sum is σ = 17918208. Its totient is φ = 2184480.

The previous prime is 7742401. The next prime is 7742411. The reversal of 7742406 is 6042477.

7742406 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7742401) and next prime (7742411).

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

7742406 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742401) 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, 2376 + ... + 4596.

It is an arithmetic number, because the mean of its divisors is an integer number (559944).

Almost surely, 2^7742406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7742406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8959104).

7742406 is an abundant number, since it is smaller than the sum of its proper divisors (10175802).

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

7742406 is a wasteful number, since it uses less digits than its factorization.

7742406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316.

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

The square root of 7742406 is about 2782.5179244706. The cubic root of 7742406 is about 197.8299223092.

The spelling of 7742406 in words is "seven million, seven hundred forty-two thousand, four hundred six".