801816800 has 72 divisors (see below), whose sum is σ = 2042588016. Its totient is φ = 306775040.

The previous prime is 801816791. The next prime is 801816811. The reversal of 801816800 is 8618108.

It is a happy number.

It is a super-4 number, since 4×801816800⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3389 + ... + 40188.

It is an arithmetic number, because the mean of its divisors is an integer number (28369278).

Almost surely, 2^801816800 is an apocalyptic number.

801816800 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 801816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021294008).

801816800 is an abundant number, since it is smaller than the sum of its proper divisors (1240771216).

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

801816800 is a wasteful number, since it uses less digits than its factorization.

801816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43620 (or 43607 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 801816800 is about 28316.3698238316. The cubic root of 801816800 is about 929.0199719706.

The spelling of 801816800 in words is "eight hundred one million, eight hundred sixteen thousand, eight hundred".