807275040768 has 1560 divisors, whose sum is σ = 3123855009792. Its totient is φ = 206009008128.

The previous prime is 807275040763. The next prime is 807275040809. The reversal of 807275040768 is 867040572708.

It is a happy number.

807275040768 is a `hidden beast` number, since 8 + 0 + 72 + 7 + 504 + 0 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (807275040763) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 6356496321 + ... + 6356496447.

Almost surely, 2^807275040768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807275040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561927504896).

807275040768 is an abundant number, since it is smaller than the sum of its proper divisors (2316579969024).

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

807275040768 is a wasteful number, since it uses less digits than its factorization.

807275040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 807275040768 in words is "eight hundred seven billion, two hundred seventy-five million, forty thousand, seven hundred sixty-eight".