80754 has 16 divisors (see below), whose sum is σ = 165792. Its totient is φ = 26208.

The previous prime is 80749. The next prime is 80761. The reversal of 80754 is 45708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (10362).

2⁸⁰⁷⁵⁴ is an apocalyptic number.

80754 is an abundant number, since it is smaller than the sum of its proper divisors (85038).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82896).

80754 is a wasteful number, since it uses less digits than its factorization.

80754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 80754 is about 284.1724828339. The cubic root of 80754 is about 43.2236410382.

It can be divided in two parts, 807 and 54, that added together give a triangular number (861 = T₄₁).

The spelling of 80754 in words is "eighty thousand, seven hundred fifty-four".