7678480 has 40 divisors (see below), whose sum is σ = 18295704. Its totient is φ = 2995200.

The previous prime is 7678477. The next prime is 7678507. The reversal of 7678480 is 848767.

7678480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 7573504 = 324^2 + 2752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×7678480² = 117918110220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2110 + ... + 4450.

Almost surely, 2^7678480 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 7678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147852).

7678480 is an abundant number, since it is smaller than the sum of its proper divisors (10617224).

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

7678480 is a wasteful number, since it uses less digits than its factorization.

7678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 7678480 is about 2771.0070371618. The cubic root of 7678480 is about 197.2839489684.

The spelling of 7678480 in words is "seven million, six hundred seventy-eight thousand, four hundred eighty".