800997120 has 864 divisors, whose sum is σ = 3690973440. Its totient is φ = 162570240.

The previous prime is 800997107. The next prime is 800997121. The reversal of 800997120 is 21799008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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 (800997121) 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 95 ways as a sum of consecutive naturals, for example, 18627819 + ... + 18627861.

It is an arithmetic number, because the mean of its divisors is an integer number (4271960).

Almost surely, 2^800997120 is an apocalyptic number.

800997120 is a gapful number since it is divisible by the number (80) 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 800997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845486720).

800997120 is an abundant number, since it is smaller than the sum of its proper divisors (2889976320).

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

800997120 is a wasteful number, since it uses less digits than its factorization.

800997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

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

The square root of 800997120 is about 28301.8925162258. The cubic root of 800997120 is about 928.7032916823.

The spelling of 800997120 in words is "eight hundred million, nine hundred ninety-seven thousand, one hundred twenty".