807028104960 has 1728 divisors, whose sum is σ = 3592622831616. Its totient is φ = 163791175680.

The previous prime is 807028104937. The next prime is 807028104989. The reversal of 807028104960 is 69401820708.

807028104960 is a `hidden beast` number, since 80 + 7 + 0 + 2 + 81 + 0 + 496 + 0 = 666.

It is a super-3 number, since 3×807028104960³ (a number of 37 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7835224269 + ... + 7835224371.

Almost surely, 2^807028104960 is an apocalyptic number.

807028104960 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 807028104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796311415808).

807028104960 is an abundant number, since it is smaller than the sum of its proper divisors (2785594726656).

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

807028104960 is a wasteful number, since it uses less digits than its factorization.

807028104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 807028104960 in words is "eight hundred seven billion, twenty-eight million, one hundred four thousand, nine hundred sixty".