7427904 has 56 divisors (see below), whose sum is σ = 21445728. Its totient is φ = 2250240.

The previous prime is 7427899. The next prime is 7427921. The reversal of 7427904 is 4097247.

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 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, 354 + ... + 3870.

Almost surely, 2^7427904 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 7427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10722864).

7427904 is an abundant number, since it is smaller than the sum of its proper divisors (14017824).

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

7427904 is a wasteful number, since it uses less digits than its factorization.

7427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 7427904 is about 2725.4181330578. The cubic root of 7427904 is about 195.1141475009.

It can be divided in two parts, 742 and 7904, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 7427904 in words is "seven million, four hundred twenty-seven thousand, nine hundred four".