7958816 has 48 divisors (see below), whose sum is σ = 16547328. Its totient is φ = 3763200.

The previous prime is 7958807. The next prime is 7958831. The reversal of 7958816 is 6188597.

It is a happy number.

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, 70376 + ... + 70488.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 2^7958816 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 7958816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664).

7958816 is an abundant number, since it is smaller than the sum of its proper divisors (8588512).

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

7958816 is a wasteful number, since it uses less digits than its factorization.

7958816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its digits is 120960, while the sum is 44.

The square root of 7958816 is about 2821.1373592932. The cubic root of 7958816 is about 199.6562093787.

It can be divided in two parts, 79 and 58816, that multiplied together give a palindrome (4646464).

The spelling of 7958816 in words is "seven million, nine hundred fifty-eight thousand, eight hundred sixteen".