7926480 has 120 divisors (see below), whose sum is σ = 27129960. Its totient is φ = 2073600.

The previous prime is 7926469. The next prime is 7926487. The reversal of 7926480 is 846297.

7926480 is a `hidden beast` number, since 7 + 9 + 2 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 4511376 = 1848^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7926487) 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, 72666 + ... + 72774.

It is an arithmetic number, because the mean of its divisors is an integer number (226083).

Almost surely, 2^7926480 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 7926480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564980).

7926480 is an abundant number, since it is smaller than the sum of its proper divisors (19203480).

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

7926480 is a wasteful number, since it uses less digits than its factorization.

7926480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7926480 is about 2815.4005043688. The cubic root of 7926480 is about 199.3854468899.

The spelling of 7926480 in words is "seven million, nine hundred twenty-six thousand, four hundred eighty".