7970816 has 56 divisors (see below), whose sum is σ = 18348960. Its totient is φ = 3391488.

The previous prime is 7970801. The next prime is 7970821. The reversal of 7970816 is 6180797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 7970816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57275 + ... + 57413.

It is an arithmetic number, because the mean of its divisors is an integer number (327660).

Almost surely, 2^7970816 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 7970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174480).

7970816 is an abundant number, since it is smaller than the sum of its proper divisors (10378144).

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

7970816 is an equidigital number, since it uses as much as digits as its factorization.

7970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 7970816 is about 2823.2633600144. The cubic root of 7970816 is about 199.7565036680.

The spelling of 7970816 in words is "seven million, nine hundred seventy thousand, eight hundred sixteen".