800780580000 has 600 divisors, whose sum is σ = 3116118688452. Its totient is φ = 200973312000.

The previous prime is 800780579993. The next prime is 800780580001. The reversal of 800780580000 is 85087008.

800780580000 is a `hidden beast` number, since 8 + 0 + 0 + 78 + 0 + 580 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 535829904 + 800244750096 = 23148^2 + 894564^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×800780580000³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (800780580001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 27525462 + ... + 27554538.

Almost surely, 2^800780580000 is an apocalyptic number.

800780580000 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 800780580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558059344226).

800780580000 is an abundant number, since it is smaller than the sum of its proper divisors (2315338108452).

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

800780580000 is a wasteful number, since it uses less digits than its factorization.

800780580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29136 (or 29104 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 800780580000 in words is "eight hundred billion, seven hundred eighty million, five hundred eighty thousand".