801726288 has 160 divisors (see below), whose sum is σ = 2323994112. Its totient is φ = 236121600.

The previous prime is 801726269. The next prime is 801726301. The reversal of 801726288 is 882627108.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4634170 + ... + 4634342.

Almost surely, 2^801726288 is an apocalyptic number.

801726288 is a gapful number since it is divisible by the number (88) 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 801726288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161997056).

801726288 is an abundant number, since it is smaller than the sum of its proper divisors (1522267824).

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

801726288 is a wasteful number, since it uses less digits than its factorization.

801726288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 801726288 is about 28314.7715512592. The cubic root of 801726288 is about 928.9850136027.

The spelling of 801726288 in words is "eight hundred one million, seven hundred twenty-six thousand, two hundred eighty-eight".