80700 has 36 divisors (see below), whose sum is σ = 234360. Its totient is φ = 21440.

The previous prime is 80687. The next prime is 80701. The reversal of 80700 is 708.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 80700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80701) by changing a digit.

80700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2⁸⁰⁷⁰⁰ 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 80700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180).

80700 is an abundant number, since it is smaller than the sum of its proper divisors (153660).

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

80700 is a wasteful number, since it uses less digits than its factorization.

80700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 80700 is about 284.0774542268. The cubic root of 80700 is about 43.2140043760.

It can be divided in two parts, 80 and 700, that added together give a triangular number (780 = T₃₉).

The spelling of 80700 in words is "eighty thousand, seven hundred".