806733812160 has 448 divisors, whose sum is σ = 2947475496960. Its totient is φ = 207502663680.

The previous prime is 806733812119. The next prime is 806733812207. The reversal of 806733812160 is 61218337608.

806733812160 is a `hidden beast` number, since 80 + 67 + 338 + 121 + 60 = 666.

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

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, 83829109 + ... + 83838731.

Almost surely, 2^806733812160 is an apocalyptic number.

806733812160 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 806733812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473737748480).

806733812160 is an abundant number, since it is smaller than the sum of its proper divisors (2140741684800).

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

806733812160 is a wasteful number, since it uses less digits than its factorization.

806733812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9993 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 806733812160 in words is "eight hundred six billion, seven hundred thirty-three million, eight hundred twelve thousand, one hundred sixty".