7842296 has 64 divisors (see below), whose sum is σ = 19008000. Its totient is φ = 2943360.

The previous prime is 7842293. The next prime is 7842299. The reversal of 7842296 is 6922487.

It is an interprime number because it is at equal distance from previous prime (7842293) and next prime (7842299).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842293) 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, 17645 + ... + 18083.

It is an arithmetic number, because the mean of its divisors is an integer number (297000).

Almost surely, 2^7842296 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 7842296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504000).

7842296 is an abundant number, since it is smaller than the sum of its proper divisors (11165704).

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

7842296 is a wasteful number, since it uses less digits than its factorization.

7842296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 7842296 is about 2800.4099699865. The cubic root of 7842296 is about 198.6770685564.

It can be divided in two parts, 7842 and 296, that multiplied together give a palindrome (2321232).

The spelling of 7842296 in words is "seven million, eight hundred forty-two thousand, two hundred ninety-six".