7412880 has 80 divisors (see below), whose sum is σ = 23373504. Its totient is φ = 1943040.

The previous prime is 7412879. The next prime is 7412891. The reversal of 7412880 is 882147.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15850 + ... + 16310.

Almost surely, 2^7412880 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 7412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686752).

7412880 is an abundant number, since it is smaller than the sum of its proper divisors (15960624).

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

7412880 is a wasteful number, since it uses less digits than its factorization.

7412880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 7412880 is about 2722.6604635907. The cubic root of 7412880 is about 194.9825099369.

The spelling of 7412880 in words is "seven million, four hundred twelve thousand, eight hundred eighty".