20000080 has 60 divisors (see below), whose sum is σ = 47926620. Its totient is φ = 7760896.

The previous prime is 20000077. The next prime is 20000081. The reversal of 20000080 is 8000002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1296 + 19998784 = 36^2 + 4472^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224676 + ... + 224764.

It is an arithmetic number, because the mean of its divisors is an integer number (798777).

Almost surely, 2^20000080 is an apocalyptic number.

20000080 is a gapful number since it is divisible by the number (20) 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 20000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23963310).

20000080 is an abundant number, since it is smaller than the sum of its proper divisors (27926540).

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

20000080 is an equidigital number, since it uses as much as digits as its factorization.

20000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 149 counting only the distinct ones).

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

The square root of 20000080 is about 4472.1448992625. The cubic root of 20000080 is about 271.4421235814.

Adding to 20000080 its reverse (8000002), we get a palindrome (28000082).

It can be divided in two parts, 200000 and 80, that multiplied together give a square (16000000 = 4000²).

The spelling of 20000080 in words is "twenty million, eighty", and thus it is an aban number and an uban number.