806054820480 has 3840 divisors, whose sum is σ = 4127836204800. Its totient is φ = 145047158784.

The previous prime is 806054820449. The next prime is 806054820481. The reversal of 806054820480 is 84028450608.

806054820480 is a `hidden beast` number, since 8 + 0 + 6 + 0 + 548 + 20 + 4 + 80 = 666.

806054820480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (806054820481) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 35045861749 + ... + 35045861771.

It is an arithmetic number, because the mean of its divisors is an integer number (1074957345).

Almost surely, 2^806054820480 is an apocalyptic number.

806054820480 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 806054820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063918102400).

806054820480 is an abundant number, since it is smaller than the sum of its proper divisors (3321781384320).

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

806054820480 is a wasteful number, since it uses less digits than its factorization.

806054820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 806054820480 in words is "eight hundred six billion, fifty-four million, eight hundred twenty thousand, four hundred eighty".