800883720 has 512 divisors, whose sum is σ = 3411072000. Its totient is φ = 162570240.

The previous prime is 800883697. The next prime is 800883739. The reversal of 800883720 is 27388008.

It is a super-2 number, since 2×800883720² = 1282829465922076800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2849980 + ... + 2850260.

It is an arithmetic number, because the mean of its divisors is an integer number (6662250).

Almost surely, 2^800883720 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 800883720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705536000).

800883720 is an abundant number, since it is smaller than the sum of its proper divisors (2610188280).

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

800883720 is a wasteful number, since it uses less digits than its factorization.

800883720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 800883720 is about 28299.8890457189. The cubic root of 800883720 is about 928.6594630088.

The spelling of 800883720 in words is "eight hundred million, eight hundred eighty-three thousand, seven hundred twenty".