801180828 has 288 divisors, whose sum is σ = 2668198400. Its totient is φ = 203046912.

The previous prime is 801180817. The next prime is 801180829. The reversal of 801180828 is 828081108.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 801180792 and 801180801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801180829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4151100 + ... + 4151292.

Almost surely, 2^801180828 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 801180828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334099200).

801180828 is an abundant number, since it is smaller than the sum of its proper divisors (1867017572).

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

801180828 is a wasteful number, since it uses less digits than its factorization.

801180828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 801180828 is about 28305.1378375022. The cubic root of 801180828 is about 928.7742853553.

The spelling of 801180828 in words is "eight hundred one million, one hundred eighty thousand, eight hundred twenty-eight".