800876160 has 320 divisors, whose sum is σ = 3270136320. Its totient is φ = 182974464.

The previous prime is 800876149. The next prime is 800876173. The reversal of 800876160 is 61678008.

800876160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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, 361777 + ... + 363983.

It is an arithmetic number, because the mean of its divisors is an integer number (10219176).

Almost surely, 2^800876160 is an apocalyptic number.

800876160 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 800876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635068160).

800876160 is an abundant number, since it is smaller than the sum of its proper divisors (2469260160).

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

800876160 is a wasteful number, since it uses less digits than its factorization.

800876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 800876160 is about 28299.7554759754. The cubic root of 800876160 is about 928.6565409502.

The spelling of 800876160 in words is "eight hundred million, eight hundred seventy-six thousand, one hundred sixty".