800480995776 has 448 divisors, whose sum is σ = 2936824565760. Its totient is φ = 207712926720.

The previous prime is 800480995751. The next prime is 800480995799. The reversal of 800480995776 is 677599084008.

800480995776 is a `hidden beast` number, since 80 + 0 + 480 + 9 + 9 + 5 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173901891 + ... + 173906493.

Almost surely, 2^800480995776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800480995776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468412282880).

800480995776 is an abundant number, since it is smaller than the sum of its proper divisors (2136343569984).

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

800480995776 is a wasteful number, since it uses less digits than its factorization.

800480995776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 800480995776 in words is "eight hundred billion, four hundred eighty million, nine hundred ninety-five thousand, seven hundred seventy-six".