80384256 has 108 divisors (see below), whose sum is σ = 234365040. Its totient is φ = 26496000.

The previous prime is 80384251. The next prime is 80384261. The reversal of 80384256 is 65248308.

It is an interprime number because it is at equal distance from previous prime (80384251) and next prime (80384261).

It is a super-2 number, since 2×80384256² = 12923257225347072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80384256.

It is not an unprimeable number, because it can be changed into a prime (80384251) 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, 320131 + ... + 320381.

Almost surely, 2^80384256 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 80384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117182520).

80384256 is an abundant number, since it is smaller than the sum of its proper divisors (153980784).

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

80384256 is a wasteful number, since it uses less digits than its factorization.

80384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 80384256 is about 8965.7267413189. The cubic root of 80384256 is about 431.5757151161.

The spelling of 80384256 in words is "eighty million, three hundred eighty-four thousand, two hundred fifty-six".