7728864 has 96 divisors (see below), whose sum is σ = 23877504. Its totient is φ = 2158080.

The previous prime is 7728857. The next prime is 7728871. The reversal of 7728864 is 4688277.

It is an interprime number because it is at equal distance from previous prime (7728857) and next prime (7728871).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13447 + ... + 14009.

It is an arithmetic number, because the mean of its divisors is an integer number (248724).

Almost surely, 2^7728864 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 7728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938752).

7728864 is an abundant number, since it is smaller than the sum of its proper divisors (16148640).

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

7728864 is a wasteful number, since it uses less digits than its factorization.

7728864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 7728864 is about 2780.0834519849. The cubic root of 7728864 is about 197.7145156232.

The spelling of 7728864 in words is "seven million, seven hundred twenty-eight thousand, eight hundred sixty-four".