7797288 has 64 divisors (see below), whose sum is σ = 21384000. Its totient is φ = 2358272.

The previous prime is 7797287. The next prime is 7797311. The reversal of 7797288 is 8827977.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7797281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11503 + ... + 12161.

It is an arithmetic number, because the mean of its divisors is an integer number (334125).

Almost surely, 2^7797288 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 7797288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692000).

7797288 is an abundant number, since it is smaller than the sum of its proper divisors (13586712).

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

7797288 is a wasteful number, since it uses less digits than its factorization.

7797288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its digits is 395136, while the sum is 48.

The square root of 7797288 is about 2792.3624406584. The cubic root of 7797288 is about 198.2962609113.

The spelling of 7797288 in words is "seven million, seven hundred ninety-seven thousand, two hundred eighty-eight".