7833984 has 64 divisors (see below), whose sum is σ = 21738240. Its totient is φ = 2494976.

The previous prime is 7833977. The next prime is 7833989. The reversal of 7833984 is 4893387.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7833984² = 122742610624512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7833989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8389 + ... + 9275.

It is an arithmetic number, because the mean of its divisors is an integer number (339660).

Almost surely, 2^7833984 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 7833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10869120).

7833984 is an abundant number, since it is smaller than the sum of its proper divisors (13904256).

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

7833984 is a wasteful number, since it uses less digits than its factorization.

7833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 915 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 7833984 is about 2798.9255081191. The cubic root of 7833984 is about 198.6068515529.

The spelling of 7833984 in words is "seven million, eight hundred thirty-three thousand, nine hundred eighty-four".