7836864 has 140 divisors (see below), whose sum is σ = 25612344. Its totient is φ = 2107392.

The previous prime is 7836841. The next prime is 7836883. The reversal of 7836864 is 4686387.

It is a super-2 number, since 2×7836864² = 122832874708992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 460984 + ... + 461000.

Almost surely, 2^7836864 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 7836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806172).

7836864 is an abundant number, since it is smaller than the sum of its proper divisors (17775480).

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

7836864 is an equidigital number, since it uses as much as digits as its factorization.

7836864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 7836864 is about 2799.4399439888. The cubic root of 7836864 is about 198.6311864530.

The spelling of 7836864 in words is "seven million, eight hundred thirty-six thousand, eight hundred sixty-four".