7900416 has 108 divisors (see below), whose sum is σ = 23808512. Its totient is φ = 2612736.

The previous prime is 7900411. The next prime is 7900421. The reversal of 7900416 is 6140097.

It is an interprime number because it is at equal distance from previous prime (7900411) and next prime (7900421).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 7900416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7900411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62145 + ... + 62271.

Almost surely, 2^7900416 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 7900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904256).

7900416 is an abundant number, since it is smaller than the sum of its proper divisors (15908096).

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

7900416 is an equidigital number, since it uses as much as digits as its factorization.

7900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7900416 is about 2810.7678666158. The cubic root of 7900416 is about 199.1666659275.

The spelling of 7900416 in words is "seven million, nine hundred thousand, four hundred sixteen".