806870644800 has 672 divisors, whose sum is σ = 2965242069504. Its totient is φ = 190396416000.

The previous prime is 806870644799. The next prime is 806870644829. The reversal of 806870644800 is 8446078608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1060276420 + ... + 1060277180.

Almost surely, 2^806870644800 is an apocalyptic number.

806870644800 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 806870644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482621034752).

806870644800 is an abundant number, since it is smaller than the sum of its proper divisors (2158371424704).

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

806870644800 is a wasteful number, since it uses less digits than its factorization.

806870644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 806870644800 in words is "eight hundred six billion, eight hundred seventy million, six hundred forty-four thousand, eight hundred".