800379740160 has 2240 divisors, whose sum is σ = 3868518576384. Its totient is φ = 152882380800.

The previous prime is 800379740123. The next prime is 800379740203. The reversal of 800379740160 is 61047973008.

800379740160 is a `hidden beast` number, since 80 + 0 + 379 + 7 + 40 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3321077640 + ... + 3321077880.

Almost surely, 2^800379740160 is an apocalyptic number.

800379740160 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 800379740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934259288192).

800379740160 is an abundant number, since it is smaller than the sum of its proper divisors (3068138836224).

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

800379740160 is a wasteful number, since it uses less digits than its factorization.

800379740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 800379740160 in words is "eight hundred billion, three hundred seventy-nine million, seven hundred forty thousand, one hundred sixty".