80753616402795 has 256 divisors, whose sum is σ = 168959479234560. Its totient is φ = 36280612592640.

The previous prime is 80753616402721. The next prime is 80753616402821. The reversal of 80753616402795 is 59720461635708.

80753616402795 is a `hidden beast` number, since 8 + 0 + 7 + 5 + 3 + 616 + 4 + 0 + 2 + 7 + 9 + 5 = 666.

It is not a de Polignac number, because 80753616402795 - 2¹⁵ = 80753616370027 is a prime.

It is a super-3 number, since 3×80753616402795³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6196081599 + ... + 6196094631.

It is an arithmetic number, because the mean of its divisors is an integer number (659997965760).

It is a 1-persistent number, because it is pandigital, but 2⋅80753616402795 = 161507232805590 is not.

Almost surely, 2^{80753616402795} is an apocalyptic number.

80753616402795 is an abundant number, since it is smaller than the sum of its proper divisors (88205862831765).

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

80753616402795 is a wasteful number, since it uses less digits than its factorization.

80753616402795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14454 (or 14436 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 80753616402795 in words is "eighty trillion, seven hundred fifty-three billion, six hundred sixteen million, four hundred two thousand, seven hundred ninety-five".