806604814080 has 648 divisors, whose sum is σ = 3047495488128. Its totient is φ = 195808444416.

The previous prime is 806604814063. The next prime is 806604814097. The reversal of 806604814080 is 80418406608.

806604814080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (806604814063) and next prime (806604814097).

It is a super-3 number, since 3×806604814080³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 71 ways as a sum of consecutive naturals, for example, 934651729 + ... + 934652591.

It is an arithmetic number, because the mean of its divisors is an integer number (4702925136).

Almost surely, 2^806604814080 is an apocalyptic number.

806604814080 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 806604814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523747744064).

806604814080 is an abundant number, since it is smaller than the sum of its proper divisors (2240890674048).

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

806604814080 is a wasteful number, since it uses less digits than its factorization.

806604814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 806604814080 in words is "eight hundred six billion, six hundred four million, eight hundred fourteen thousand, eighty".