807133110480 has 240 divisors, whose sum is σ = 2718732656640. Its totient is φ = 214592716800.

The previous prime is 807133110439. The next prime is 807133110559. The reversal of 807133110480 is 84011331708.

807133110480 is a `hidden beast` number, since 80 + 71 + 3 + 31 + 1 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548696145 + ... + 548697615.

It is an arithmetic number, because the mean of its divisors is an integer number (11328052736).

Almost surely, 2^807133110480 is an apocalyptic number.

807133110480 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 807133110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359366328320).

807133110480 is an abundant number, since it is smaller than the sum of its proper divisors (1911599546160).

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

807133110480 is a wasteful number, since it uses less digits than its factorization.

807133110480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 807133110480 in words is "eight hundred seven billion, one hundred thirty-three million, one hundred ten thousand, four hundred eighty".