8020000 has 60 divisors (see below), whose sum is σ = 19779606. Its totient is φ = 3200000.

The previous prime is 8019997. The next prime is 8020003. The reversal of 8020000 is 208.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8019997) and next prime (8020003).

It can be written as a sum of positive squares in 5 ways, for example, as 1527696 + 6492304 = 1236^2 + 2548^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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

It is not an unprimeable number, because it can be changed into a prime (8020003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19800 + ... + 20200.

Almost surely, 2^8020000 is an apocalyptic number.

8020000 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 8020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889803).

8020000 is an abundant number, since it is smaller than the sum of its proper divisors (11759606).

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

8020000 is an equidigital number, since it uses as much as digits as its factorization.

8020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 8020000 is about 2831.9604517013. The cubic root of 8020000 is about 200.1665279704.

Adding to 8020000 its reverse (208), we get a palindrome (8020208).

The spelling of 8020000 in words is "eight million, twenty thousand".