8723800 has 48 divisors (see below), whose sum is σ = 20690640. Its totient is φ = 3419520.

The previous prime is 8723789. The next prime is 8723807. The reversal of 8723800 is 83278.

It is a happy number.

It is a super-2 number, since 2×8723800² = 152209372880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8723807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10189 + ... + 11011.

It is an arithmetic number, because the mean of its divisors is an integer number (431055).

Almost surely, 2^8723800 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 8723800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345320).

8723800 is an abundant number, since it is smaller than the sum of its proper divisors (11966840).

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

8723800 is a wasteful number, since it uses less digits than its factorization.

8723800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 8723800 is about 2953.6079631529. The cubic root of 8723800 is about 205.8583876066.

The spelling of 8723800 in words is "eight million, seven hundred twenty-three thousand, eight hundred".