920800 has 36 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 368000.

The previous prime is 920791. The next prime is 920807. The reversal of 920800 is 8029.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920807) by changing a digit.

920800 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 5 ways as a sum of consecutive naturals, for example, 225 + ... + 1375.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

2⁹²⁰⁸⁰⁰ 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 920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

920800 is an abundant number, since it is smaller than the sum of its proper divisors (1329056).

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

920800 is a wasteful number, since it uses less digits than its factorization.

920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 920800 is about 959.5832428716. The cubic root of 920800 is about 97.2870654350.

Adding to 920800 its reverse (8029), we get a palindrome (928829).

The spelling of 920800 in words is "nine hundred twenty thousand, eight hundred".