806476538400 has 1152 divisors, whose sum is σ = 3100031585280. Its totient is φ = 180373340160.

The previous prime is 806476538377. The next prime is 806476538407. The reversal of 806476538400 is 4835674608.

It is not an unprimeable number, because it can be changed into a prime (806476538407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1820488579 + ... + 1820489021.

It is an arithmetic number, because the mean of its divisors is an integer number (2690999640).

Almost surely, 2^806476538400 is an apocalyptic number.

806476538400 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 806476538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550015792640).

806476538400 is an abundant number, since it is smaller than the sum of its proper divisors (2293555046880).

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

806476538400 is a wasteful number, since it uses less digits than its factorization.

806476538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 806476538400 in words is "eight hundred six billion, four hundred seventy-six million, five hundred thirty-eight thousand, four hundred".