807078454099008 has 1344 divisors, whose sum is σ = 2818762247208960. Its totient is φ = 198982555140096.

The previous prime is 807078454099007. The next prime is 807078454099031. The reversal of 807078454099008 is 800990454870708.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (807078454099003) by changing a digit.

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, 113625007585 + ... + 113625014687.

Almost surely, 2^{807078454099008} 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 807078454099008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409381123604480).

807078454099008 is an abundant number, since it is smaller than the sum of its proper divisors (2011683793109952).

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

807078454099008 is a wasteful number, since it uses less digits than its factorization.

807078454099008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7493 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 807078454099008 in words is "eight hundred seven trillion, seventy-eight billion, four hundred fifty-four million, ninety-nine thousand, eight".