80002880 has 112 divisors (see below), whose sum is σ = 203271120. Its totient is φ = 29933568.

The previous prime is 80002873. The next prime is 80002889. The reversal of 80002880 is 8820008.

It can be written as a sum of positive squares in 8 ways, for example, as 7744 + 79995136 = 88^2 + 8944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80002889) 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, 343244 + ... + 343476.

Almost surely, 2^80002880 is an apocalyptic number.

80002880 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 80002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101635560).

80002880 is an abundant number, since it is smaller than the sum of its proper divisors (123268240).

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

80002880 is a wasteful number, since it uses less digits than its factorization.

80002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 80002880 is about 8944.4329054446. The cubic root of 80002880 is about 430.8921085876.

Adding to 80002880 its reverse (8820008), we get a palindrome (88822888).

It can be divided in two parts, 8000 and 2880, that multiplied together give a square (23040000 = 4800²).

The spelling of 80002880 in words is "eighty million, two thousand, eight hundred eighty".