802126080 has 540 divisors, whose sum is σ = 3349267740. Its totient is φ = 177020928.

The previous prime is 802126057. The next prime is 802126099. The reversal of 802126080 is 80621208.

It can be written as a sum of positive squares in 2 ways, for example, as 354041856 + 448084224 = 18816^2 + 21168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27659506 + ... + 27659534.

Almost surely, 2^802126080 is an apocalyptic number.

802126080 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 802126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674633870).

802126080 is an abundant number, since it is smaller than the sum of its proper divisors (2547141660).

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

802126080 is an equidigital number, since it uses as much as digits as its factorization.

802126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 802126080 is about 28321.8304493195. The cubic root of 802126080 is about 929.1394050554.

Adding to 802126080 its reverse (80621208), we get a palindrome (882747288).

The spelling of 802126080 in words is "eight hundred two million, one hundred twenty-six thousand, eighty".