801002880 has 192 divisors, whose sum is σ = 2814037200. Its totient is φ = 209891328.

The previous prime is 801002879. The next prime is 801002887. The reversal of 801002880 is 88200108.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×801002880³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801002887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338662 + ... + 341018.

Almost surely, 2^801002880 is an apocalyptic number.

801002880 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 801002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407018600).

801002880 is an abundant number, since it is smaller than the sum of its proper divisors (2013034320).

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

801002880 is a wasteful number, since it uses less digits than its factorization.

801002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 801002880 is about 28301.9942760223. The cubic root of 801002880 is about 928.7055177902.

Adding to 801002880 its reverse (88200108), we get a palindrome (889202988).

It can be divided in two parts, 8010028 and 80, that added together give a palindrome (8010108).

The spelling of 801002880 in words is "eight hundred one million, two thousand, eight hundred eighty".