7678320 has 160 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 1790976.

The previous prime is 7678313. The next prime is 7678327. The reversal of 7678320 is 238767.

7678320 = T₁₆₁ + T₁₆₂ + ... + T₃₆₈.

7678320 is digitally balanced in base 5, because in such base 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 (7678313) and next prime (7678327).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7678327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71707 + ... + 71813.

Almost surely, 2^7678320 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 7678320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

7678320 is an abundant number, since it is smaller than the sum of its proper divisors (19319952).

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

7678320 is a wasteful number, since it uses less digits than its factorization.

7678320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 7678320 is about 2770.9781666408. The cubic root of 7678320 is about 197.2825786602.

The spelling of 7678320 in words is "seven million, six hundred seventy-eight thousand, three hundred twenty".