80736 has 36 divisors (see below), whose sum is σ = 219492. Its totient is φ = 25984.

The previous prime is 80713. The next prime is 80737. The reversal of 80736 is 63708.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80737) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2770 + ... + 2798.

It is an arithmetic number, because the mean of its divisors is an integer number (6097).

2⁸⁰⁷³⁶ 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 80736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109746).

80736 is an abundant number, since it is smaller than the sum of its proper divisors (138756).

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

80736 is a wasteful number, since it uses less digits than its factorization.

80736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 80736 is about 284.1408101628. The cubic root of 80736 is about 43.2204292949.

Multiplying 80736 by its sum of digits (24), we get a square (1937664 = 1392²).

80736 divided by its sum of digits (24) gives a square (3364 = 58²).

The spelling of 80736 in words is "eighty thousand, seven hundred thirty-six".