7188880 has 40 divisors (see below), whose sum is σ = 17445312. Its totient is φ = 2749824.

The previous prime is 7188871. The next prime is 7188889. The reversal of 7188880 is 888817.

It is an interprime number because it is at equal distance from previous prime (7188871) and next prime (7188889).

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7188889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 3793.

Almost surely, 2^7188880 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 7188880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722656).

7188880 is an abundant number, since it is smaller than the sum of its proper divisors (10256432).

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

7188880 is a wasteful number, since it uses less digits than its factorization.

7188880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The square root of 7188880 is about 2681.2086826653. The cubic root of 7188880 is about 192.9984160519.

The spelling of 7188880 in words is "seven million, one hundred eighty-eight thousand, eight hundred eighty".