7468880 has 40 divisors (see below), whose sum is σ = 17577000. Its totient is φ = 2951168.

The previous prime is 7468871. The next prime is 7468891. The reversal of 7468880 is 888647.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 6370576 = 1048^2 + 2524^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6596 + ... + 7644.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 2^7468880 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 7468880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788500).

7468880 is an abundant number, since it is smaller than the sum of its proper divisors (10108120).

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

7468880 is a wasteful number, since it uses less digits than its factorization.

7468880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 7468880 is about 2732.9251727773. The cubic root of 7468880 is about 195.4722718898.

The spelling of 7468880 in words is "seven million, four hundred sixty-eight thousand, eight hundred eighty".