80557344 has 144 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 22256640.

The previous prime is 80557343. The next prime is 80557349. The reversal of 80557344 is 44375508.

80557344 = 1597² + 1598² + ... + 1627².

80557344 is a `hidden beast` number, since 80 + 5 + 573 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 80557299 and 80557308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80557343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61852 + ... + 63140.

It is an arithmetic number, because the mean of its divisors is an integer number (1878240).

Almost surely, 2^80557344 is an apocalyptic number.

80557344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80557344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

80557344 is an abundant number, since it is smaller than the sum of its proper divisors (189909216).

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

80557344 is a wasteful number, since it uses less digits than its factorization.

80557344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 80557344 is about 8975.3743097433. The cubic root of 80557344 is about 431.8852575921.

The spelling of 80557344 in words is "eighty million, five hundred fifty-seven thousand, three hundred forty-four".