7819264 has 52 divisors (see below), whose sum is σ = 16513056. Its totient is φ = 3694592.

The previous prime is 7819243. The next prime is 7819271. The reversal of 7819264 is 4629187.

It is a super-2 number, since 2×7819264² = 122281779003392, which contains 22 as substring.

Its product of digits (24192) is a multiple of the sum of its prime divisors (108).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94167 + ... + 94249.

Almost surely, 2^7819264 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 7819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256528).

7819264 is an abundant number, since it is smaller than the sum of its proper divisors (8693792).

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

7819264 is an equidigital number, since it uses as much as digits as its factorization.

7819264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 7819264 is about 2796.2946911940. The cubic root of 7819264 is about 198.4823799413.

The spelling of 7819264 in words is "seven million, eight hundred nineteen thousand, two hundred sixty-four".