80782020 has 108 divisors (see below), whose sum is σ = 269412780. Its totient is φ = 19578240.

The previous prime is 80781997. The next prime is 80782021. The reversal of 80782020 is 2028708.

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 55621764 = 5016^2 + 7458^2 .

It is not an unprimeable number, because it can be changed into a prime (80782021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19926 + ... + 23634.

Almost surely, 2^80782020 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 80782020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134706390).

80782020 is an abundant number, since it is smaller than the sum of its proper divisors (188630760).

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

80782020 is a wasteful number, since it uses less digits than its factorization.

80782020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 80782020 is about 8987.8818416799. The cubic root of 80782020 is about 432.2863970236.

The spelling of 80782020 in words is "eighty million, seven hundred eighty-two thousand, twenty".