80753344 has 112 divisors (see below), whose sum is σ = 197510400. Its totient is φ = 31988736.

The previous prime is 80753333. The next prime is 80753347. The reversal of 80753344 is 44335708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×80753344² = 13042205134364672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80753347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451047 + ... + 451225.

Almost surely, 2^80753344 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 80753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98755200).

80753344 is an abundant number, since it is smaller than the sum of its proper divisors (116757056).

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

80753344 is a wasteful number, since it uses less digits than its factorization.

80753344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 80753344 is about 8986.2864410167. The cubic root of 80753344 is about 432.2352399640.

It can be divided in two parts, 80 and 753344, that added together give a square (753424 = 868²).

The spelling of 80753344 in words is "eighty million, seven hundred fifty-three thousand, three hundred forty-four".