80445744 has 80 divisors (see below), whose sum is σ = 238397440. Its totient is φ = 25945920.

The previous prime is 80445721. The next prime is 80445749. The reversal of 80445744 is 44754408.

80445744 is a `hidden beast` number, since 80 + 4 + 4 + 574 + 4 = 666.

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 = 80445699 and 80445708.

It is not an unprimeable number, because it can be changed into a prime (80445749) 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, 10389 + ... + 16395.

It is an arithmetic number, because the mean of its divisors is an integer number (2979968).

Almost surely, 2^80445744 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 80445744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119198720).

80445744 is an abundant number, since it is smaller than the sum of its proper divisors (157951696).

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

80445744 is a wasteful number, since it uses less digits than its factorization.

80445744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6055 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 80445744 is about 8969.1551441593. The cubic root of 80445744 is about 431.6857282188.

It can be divided in two parts, 804 and 45744, that multiplied together give a triangular number (36778176 = T₈₅₇₆).

The spelling of 80445744 in words is "eighty million, four hundred forty-five thousand, seven hundred forty-four".