807873187968 has 1024 divisors, whose sum is σ = 3265671168000. Its totient is φ = 190122577920.

The previous prime is 807873187963. The next prime is 807873187981. The reversal of 807873187968 is 869781378708.

It is a super-3 number, since 3×807873187968³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 807873187896 and 807873187905.

It is not an unprimeable number, because it can be changed into a prime (807873187963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116287471 + ... + 116294417.

It is an arithmetic number, because the mean of its divisors is an integer number (3189132000).

Almost surely, 2^807873187968 is an apocalyptic number.

807873187968 is a gapful number since it is divisible by the number (88) 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 807873187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632835584000).

807873187968 is an abundant number, since it is smaller than the sum of its proper divisors (2457797980032).

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

807873187968 is a wasteful number, since it uses less digits than its factorization.

807873187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 807873187968 in words is "eight hundred seven billion, eight hundred seventy-three million, one hundred eighty-seven thousand, nine hundred sixty-eight".