8020800 has 126 divisors (see below), whose sum is σ = 28558998. Its totient is φ = 2135040.

The previous prime is 8020783. The next prime is 8020801. The reversal of 8020800 is 80208.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 8020224 = 24^2 + 2832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14122 + ... + 14678.

Almost surely, 2^8020800 is an apocalyptic number.

8020800 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 8020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279499).

8020800 is an abundant number, since it is smaller than the sum of its proper divisors (20538198).

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

8020800 is a wasteful number, since it uses less digits than its factorization.

8020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8020800 is about 2832.1016930894. The cubic root of 8020800 is about 200.1731833277.

Multiplying 8020800 by its reverse (80208), we get a square (643332326400 = 802080²).

8020800 divided by its reverse (80208) gives a square (100 = 10²).

The spelling of 8020800 in words is "eight million, twenty thousand, eight hundred".