7904208 has 80 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 2376192.

The previous prime is 7904207. The next prime is 7904263. The reversal of 7904208 is 8024097.

7904208 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7904207) 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, 32953 + ... + 33191.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^7904208 is an apocalyptic number.

7904208 is a gapful number since it is divisible by the number (78) 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 7904208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

7904208 is an abundant number, since it is smaller than the sum of its proper divisors (14594352).

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

7904208 is a wasteful number, since it uses less digits than its factorization.

7904208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7904208 is about 2811.4423344611. The cubic root of 7904208 is about 199.1985258193.

The spelling of 7904208 in words is "seven million, nine hundred four thousand, two hundred eight".