801836728 has 64 divisors (see below), whose sum is σ = 1898265600. Its totient is φ = 308430720.

The previous prime is 801836723. The next prime is 801836743. The reversal of 801836728 is 827638108.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801836723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40426 + ... + 56902.

It is an arithmetic number, because the mean of its divisors is an integer number (29660400).

Almost surely, 2^801836728 is an apocalyptic number.

801836728 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 801836728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949132800).

801836728 is an abundant number, since it is smaller than the sum of its proper divisors (1096428872).

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

801836728 is a wasteful number, since it uses less digits than its factorization.

801836728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16580 (or 16576 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 801836728 is about 28316.7217029090. The cubic root of 801836728 is about 929.0276683906.

The spelling of 801836728 in words is "eight hundred one million, eight hundred thirty-six thousand, seven hundred twenty-eight".