7838064 has 120 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 2336256.

The previous prime is 7838063. The next prime is 7838069. The reversal of 7838064 is 4608387.

It is a super-2 number, since 2×7838064² = 122870494536192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7838063) 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 23 ways as a sum of consecutive naturals, for example, 99177 + ... + 99255.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^7838064 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 7838064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

7838064 is an abundant number, since it is smaller than the sum of its proper divisors (16535376).

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

7838064 is a wasteful number, since it uses less digits than its factorization.

7838064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7838064 is about 2799.6542643691. The cubic root of 7838064 is about 198.6413242351.

The spelling of 7838064 in words is "seven million, eight hundred thirty-eight thousand, sixty-four".