801136980 has 144 divisors (see below), whose sum is σ = 2880259200. Its totient is φ = 183109248.

The previous prime is 801136979. The next prime is 801136981. The reversal of 801136980 is 89631108.

It is an interprime number because it is at equal distance from previous prime (801136979) and next prime (801136981).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801136981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22246 + ... + 45794.

It is an arithmetic number, because the mean of its divisors is an integer number (20001800).

Almost surely, 2^801136980 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 801136980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440129600).

801136980 is an abundant number, since it is smaller than the sum of its proper divisors (2079122220).

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

801136980 is a wasteful number, since it uses less digits than its factorization.

801136980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23580 (or 23566 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 801136980 is about 28304.3632678780. The cubic root of 801136980 is about 928.7573413495.

The spelling of 801136980 in words is "eight hundred one million, one hundred thirty-six thousand, nine hundred eighty".