7905216 has 112 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 2257920.

The previous prime is 7905193. The next prime is 7905223. The reversal of 7905216 is 6125097.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40030 + ... + 40226.

Almost surely, 2^7905216 is an apocalyptic number.

7905216 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 7905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

7905216 is an abundant number, since it is smaller than the sum of its proper divisors (16234944).

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

7905216 is a wasteful number, since it uses less digits than its factorization.

7905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 7905216 is about 2811.6215961612. The cubic root of 7905216 is about 199.2069931901.

It can be divided in two parts, 790 and 5216, that added together give a palindrome (6006).

The spelling of 7905216 in words is "seven million, nine hundred five thousand, two hundred sixteen".