7678240 has 48 divisors (see below), whose sum is σ = 18644472. Its totient is φ = 2985984.

The previous prime is 7678217. The next prime is 7678273. The reversal of 7678240 is 428767.

It can be written as a sum of positive squares in 4 ways, for example, as 7551504 + 126736 = 2748^2 + 356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7678196 and 7678205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5272 + ... + 6568.

Almost surely, 2^7678240 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 7678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9322236).

7678240 is an abundant number, since it is smaller than the sum of its proper divisors (10966232).

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

7678240 is a wasteful number, since it uses less digits than its factorization.

7678240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 7678240 is about 2770.9637312675. The cubic root of 7678240 is about 197.2818934990.

The spelling of 7678240 in words is "seven million, six hundred seventy-eight thousand, two hundred forty".