801099720 has 160 divisors (see below), whose sum is σ = 2721411000. Its totient is φ = 211341312.

The previous prime is 801099707. The next prime is 801099749. The reversal of 801099720 is 27990108.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 757460484 + 43639236 = 27522^2 + 6606^2 .

It is a super-2 number, since 2×801099720² = 1283521522768156800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 313006 + ... + 315554.

Almost surely, 2^801099720 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 801099720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360705500).

801099720 is an abundant number, since it is smaller than the sum of its proper divisors (1920311280).

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

801099720 is a wasteful number, since it uses less digits than its factorization.

801099720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 801099720 is about 28303.7050578188. The cubic root of 801099720 is about 928.7429426320.

The spelling of 801099720 in words is "eight hundred one million, ninety-nine thousand, seven hundred twenty".