801720288 has 96 divisors (see below), whose sum is σ = 2360080800. Its totient is φ = 264757248.

The previous prime is 801720253. The next prime is 801720319. The reversal of 801720288 is 882027108.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89920 + ... + 98432.

It is an arithmetic number, because the mean of its divisors is an integer number (24584175).

Almost surely, 2^801720288 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 801720288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180040400).

801720288 is an abundant number, since it is smaller than the sum of its proper divisors (1558360512).

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

801720288 is a wasteful number, since it uses less digits than its factorization.

801720288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8641 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 801720288 is about 28314.6655992968. The cubic root of 801720288 is about 928.9826961351.

The spelling of 801720288 in words is "eight hundred one million, seven hundred twenty thousand, two hundred eighty-eight".