7880448 has 72 divisors (see below), whose sum is σ = 21715456. Its totient is φ = 2534400.

The previous prime is 7880447. The next prime is 7880449. The reversal of 7880448 is 8440887.

It is an interprime number because it is at equal distance from previous prime (7880447) and next prime (7880449).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7880441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23643 + ... + 23973.

Almost surely, 2^7880448 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 7880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857728).

7880448 is an abundant number, since it is smaller than the sum of its proper divisors (13835008).

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

7880448 is a wasteful number, since it uses less digits than its factorization.

7880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 7880448 is about 2807.2135650855. The cubic root of 7880448 is about 198.9987289802.

The spelling of 7880448 in words is "seven million, eight hundred eighty thousand, four hundred forty-eight".