7823904 has 96 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 2284800.

The previous prime is 7823903. The next prime is 7823951. The reversal of 7823904 is 4093287.

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

It is a super-2 number, since 2×7823904² = 122426947602432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (7823903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32617 + ... + 32855.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^7823904 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 7823904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

7823904 is an abundant number, since it is smaller than the sum of its proper divisors (15400416).

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

7823904 is a wasteful number, since it uses less digits than its factorization.

7823904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7823904 is about 2797.1242374982. The cubic root of 7823904 is about 198.5216324052.

The spelling of 7823904 in words is "seven million, eight hundred twenty-three thousand, nine hundred four".