7836664 has 64 divisors (see below), whose sum is σ = 17424000. Its totient is φ = 3265920.

The previous prime is 7836659. The next prime is 7836667. The reversal of 7836664 is 4666387.

7836664 = 80² + 81² + ... + 288².

7836664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7836664² = 122826605297792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7836667) 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, 71842 + ... + 71950.

It is an arithmetic number, because the mean of its divisors is an integer number (272250).

Almost surely, 2^7836664 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 7836664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712000).

7836664 is an abundant number, since it is smaller than the sum of its proper divisors (9587336).

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

7836664 is a wasteful number, since it uses less digits than its factorization.

7836664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 7836664 is about 2799.4042223302. The cubic root of 7836664 is about 198.6294967221.

It can be divided in two parts, 783 and 6664, that added together give a palindrome (7447).

The spelling of 7836664 in words is "seven million, eight hundred thirty-six thousand, six hundred sixty-four".