7978480 has 80 divisors (see below), whose sum is σ = 20311200. Its totient is φ = 2903040.

The previous prime is 7978471. The next prime is 7978519. The reversal of 7978480 is 848797.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7978480² = 127312286220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43990 + ... + 44170.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 2^7978480 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 7978480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

7978480 is an abundant number, since it is smaller than the sum of its proper divisors (12332720).

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

7978480 is a wasteful number, since it uses less digits than its factorization.

7978480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 7978480 is about 2824.6203284689. The cubic root of 7978480 is about 199.8205056237.

The spelling of 7978480 in words is "seven million, nine hundred seventy-eight thousand, four hundred eighty".