800942549760 has 1152 divisors, whose sum is σ = 3149866137600. Its totient is φ = 191819612160.

The previous prime is 800942549681. The next prime is 800942549773. The reversal of 800942549760 is 67945249008.

800942549760 is a `hidden beast` number, since 8 + 0 + 0 + 94 + 2 + 5 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 800942549697 and 800942549706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2733592174 + ... + 2733592466.

It is an arithmetic number, because the mean of its divisors is an integer number (2734258800).

Almost surely, 2^800942549760 is an apocalyptic number.

800942549760 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 800942549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574933068800).

800942549760 is an abundant number, since it is smaller than the sum of its proper divisors (2348923587840).

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

800942549760 is a wasteful number, since it uses less digits than its factorization.

800942549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 800942549760 in words is "eight hundred billion, nine hundred forty-two million, five hundred forty-nine thousand, seven hundred sixty".