807686880000 has 2160 divisors, whose sum is σ = 3696719271168. Its totient is φ = 151142400000.

The previous prime is 807686879917. The next prime is 807686880019. The reversal of 807686880000 is 88686708.

It is a super-2 number, since 2×807686880000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19699679980 + ... + 19699680020.

Almost surely, 2^807686880000 is an apocalyptic number.

807686880000 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 807686880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848359635584).

807686880000 is an abundant number, since it is smaller than the sum of its proper divisors (2889032391168).

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

807686880000 is a wasteful number, since it uses less digits than its factorization.

807686880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 807686880000 in words is "eight hundred seven billion, six hundred eighty-six million, eight hundred eighty thousand".