7994880 has 120 divisors (see below), whose sum is σ = 27768312. Its totient is φ = 2125824.

The previous prime is 7994873. The next prime is 7994881. The reversal of 7994880 is 884997.

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 (45).

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 (7994881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22867 + ... + 23213.

Almost surely, 2^7994880 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 7994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884156).

7994880 is an abundant number, since it is smaller than the sum of its proper divisors (19773432).

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

7994880 is a wasteful number, since it uses less digits than its factorization.

7994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7994880 is about 2827.5218832044. The cubic root of 7994880 is about 199.9573242279.

The spelling of 7994880 in words is "seven million, nine hundred ninety-four thousand, eight hundred eighty".