801282080 has 96 divisors (see below), whose sum is σ = 2025714096. Its totient is φ = 298450944.

The previous prime is 801282023. The next prime is 801282089. The reversal of 801282080 is 80282108.

It can be written as a sum of positive squares in 8 ways, for example, as 587771536 + 213510544 = 24244^2 + 14612^2 .

It is not an unprimeable number, because it can be changed into a prime (801282089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262322 + ... + 265358.

Almost surely, 2^801282080 is an apocalyptic number.

801282080 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 801282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012857048).

801282080 is an abundant number, since it is smaller than the sum of its proper divisors (1224432016).

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

801282080 is a wasteful number, since it uses less digits than its factorization.

801282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 801282080 is about 28306.9263608750. The cubic root of 801282080 is about 928.8134093954.

The spelling of 801282080 in words is "eight hundred one million, two hundred eighty-two thousand, eighty".