7804896 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2234880.

The previous prime is 7804879. The next prime is 7804913. The reversal of 7804896 is 6984087.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7804879) and next prime (7804913).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19870 + ... + 20258.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^7804896 is an apocalyptic number.

7804896 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7804896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

7804896 is an abundant number, since it is smaller than the sum of its proper divisors (15782304).

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

7804896 is a wasteful number, since it uses less digits than its factorization.

7804896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7804896 is about 2793.7243958558. The cubic root of 7804896 is about 198.3607340780.

The spelling of 7804896 in words is "seven million, eight hundred four thousand, eight hundred ninety-six".