7835264 has 32 divisors (see below), whose sum is σ = 16000740. Its totient is φ = 3819520.

The previous prime is 7835263. The next prime is 7835279. The reversal of 7835264 is 4625387.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7795264 + 40000 = 2792^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×7835264² = 122782723899392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7835263) 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 3 ways as a sum of consecutive naturals, for example, 4502 + ... + 5994.

Almost surely, 2^7835264 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 7835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000370).

7835264 is an abundant number, since it is smaller than the sum of its proper divisors (8165476).

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

7835264 is a wasteful number, since it uses less digits than its factorization.

7835264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1536 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 7835264 is about 2799.1541579556. The cubic root of 7835264 is about 198.6176678003.

The spelling of 7835264 in words is "seven million, eight hundred thirty-five thousand, two hundred sixty-four".