807713164000 has 192 divisors, whose sum is σ = 1996680067200. Its totient is φ = 321117388800.

The previous prime is 807713163991. The next prime is 807713164009. The reversal of 807713164000 is 461317708.

807713164000 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 (807713163991) and next prime (807713164009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807713164009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663691392 + ... + 663692608.

It is an arithmetic number, because the mean of its divisors is an integer number (10399375350).

Almost surely, 2^807713164000 is an apocalyptic number.

807713164000 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 807713164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998340033600).

807713164000 is an abundant number, since it is smaller than the sum of its proper divisors (1188966903200).

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

807713164000 is a wasteful number, since it uses less digits than its factorization.

807713164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 807713164000 in words is "eight hundred seven billion, seven hundred thirteen million, one hundred sixty-four thousand".