7811664 has 80 divisors (see below), whose sum is σ = 23474688. Its totient is φ = 2192256.

The previous prime is 7811663. The next prime is 7811669. The reversal of 7811664 is 4661187.

It is a happy number.

It is a super-2 number, since 2×7811664² = 122044188897792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7811663) 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 15 ways as a sum of consecutive naturals, for example, 22339 + ... + 22685.

Almost surely, 2^7811664 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 7811664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11737344).

7811664 is an abundant number, since it is smaller than the sum of its proper divisors (15663024).

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

7811664 is a wasteful number, since it uses less digits than its factorization.

7811664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 7811664 is about 2794.9354196475. The cubic root of 7811664 is about 198.4180535514.

The spelling of 7811664 in words is "seven million, eight hundred eleven thousand, six hundred sixty-four".