7881888 has 96 divisors (see below), whose sum is σ = 24361344. Its totient is φ = 2184192.

The previous prime is 7881859. The next prime is 7881889. The reversal of 7881888 is 8881887.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7881889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24706 + ... + 25022.

It is an arithmetic number, because the mean of its divisors is an integer number (253764).

Almost surely, 2^7881888 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 7881888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180672).

7881888 is an abundant number, since it is smaller than the sum of its proper divisors (16479456).

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

7881888 is a wasteful number, since it uses less digits than its factorization.

7881888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its digits is 229376, while the sum is 48.

The square root of 7881888 is about 2807.4700354590. The cubic root of 7881888 is about 199.0108493029.

Subtracting 7881888 from its reverse (8881887), we obtain a palindrome (999999).

The spelling of 7881888 in words is "seven million, eight hundred eighty-one thousand, eight hundred eighty-eight".