826800 has 120 divisors (see below), whose sum is σ = 2906064. Its totient is φ = 199680.

The previous prime is 826799. The next prime is 826807. The reversal of 826800 is 8628.

826800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (826807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15574 + ... + 15626.

2⁸²⁶⁸⁰⁰ is an apocalyptic number.

826800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453032).

826800 is an abundant number, since it is smaller than the sum of its proper divisors (2079264).

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

826800 is a wasteful number, since it uses less digits than its factorization.

826800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 826800 is about 909.2854337335. The cubic root of 826800 is about 93.8570333103.

The spelling of 826800 in words is "eight hundred twenty-six thousand, eight hundred".