7678242 has 96 divisors (see below), whose sum is σ = 20704320. Its totient is φ = 2021760.

The previous prime is 7678217. The next prime is 7678273. The reversal of 7678242 is 2428767.

It is a d-powerful number, because it can be written as 7⁴ + 6⁸ + 7⁸ + 8⁵ + 2¹¹ + 4⁸ + 2¹⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 7678197 and 7678206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48828 + ... + 48984.

It is an arithmetic number, because the mean of its divisors is an integer number (215670).

Almost surely, 2^7678242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7678242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352160).

7678242 is an abundant number, since it is smaller than the sum of its proper divisors (13026078).

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

7678242 is a wasteful number, since it uses less digits than its factorization.

7678242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7678242 is about 2770.9640921528. The cubic root of 7678242 is about 197.2819106281.

It can be divided in two parts, 767 and 8242, that added together give a palindrome (9009).

The spelling of 7678242 in words is "seven million, six hundred seventy-eight thousand, two hundred forty-two".