7819488 has 72 divisors (see below), whose sum is σ = 23423400. Its totient is φ = 2467584.

The previous prime is 7819481. The next prime is 7819489. The reversal of 7819488 is 8849187.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7819488² = 122288785164288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7819481) 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 11 ways as a sum of consecutive naturals, for example, 4758 + ... + 6186.

It is an arithmetic number, because the mean of its divisors is an integer number (325325).

Almost surely, 2^7819488 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 7819488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711700).

7819488 is an abundant number, since it is smaller than the sum of its proper divisors (15603912).

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

7819488 is a wasteful number, since it uses less digits than its factorization.

7819488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1453 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 7819488 is about 2796.3347439103. The cubic root of 7819488 is about 198.4842752445.

The spelling of 7819488 in words is "seven million, eight hundred nineteen thousand, four hundred eighty-eight".