7643904 has 72 divisors (see below), whose sum is σ = 20971440. Its totient is φ = 2469888.

The previous prime is 7643899. The next prime is 7643927. The reversal of 7643904 is 4093467.

It is a super-2 number, since 2×7643904² = 116858536722432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28282 + ... + 28550.

It is an arithmetic number, because the mean of its divisors is an integer number (291270).

Almost surely, 2^7643904 is an apocalyptic number.

7643904 is a gapful number since it is divisible by the number (74) 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 7643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485720).

7643904 is an abundant number, since it is smaller than the sum of its proper divisors (13327536).

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

7643904 is a wasteful number, since it uses less digits than its factorization.

7643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 7643904 is about 2764.7611108376. The cubic root of 7643904 is about 196.9873818436.

The spelling of 7643904 in words is "seven million, six hundred forty-three thousand, nine hundred four".