7678080 has 192 divisors, whose sum is σ = 28005120. Its totient is φ = 1935360.

The previous prime is 7678051. The next prime is 7678087. The reversal of 7678080 is 808767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7678087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178539 + ... + 178581.

It is an arithmetic number, because the mean of its divisors is an integer number (145860).

Almost surely, 2^7678080 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 7678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002560).

7678080 is an abundant number, since it is smaller than the sum of its proper divisors (20327040).

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

7678080 is a wasteful number, since it uses less digits than its factorization.

7678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7678080 is about 2770.9348602953. The cubic root of 7678080 is about 197.2805231623.

The spelling of 7678080 in words is "seven million, six hundred seventy-eight thousand, eighty".