7382816 has 48 divisors (see below), whose sum is σ = 17345664. Its totient is φ = 3024384.

The previous prime is 7382783. The next prime is 7382819. The reversal of 7382816 is 6182837.

It is not an unprimeable number, because it can be changed into a prime (7382819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4436 + ... + 5868.

It is an arithmetic number, because the mean of its divisors is an integer number (361368).

Almost surely, 2^7382816 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 7382816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672832).

7382816 is an abundant number, since it is smaller than the sum of its proper divisors (9962848).

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

7382816 is a wasteful number, since it uses less digits than its factorization.

7382816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 7382816 is about 2717.1337839716. The cubic root of 7382816 is about 194.7185595897.

The spelling of 7382816 in words is "seven million, three hundred eighty-two thousand, eight hundred sixteen".