79757778160 has 80 divisors (see below), whose sum is σ = 188607428352. Its totient is φ = 31358361600.

The previous prime is 79757778059. The next prime is 79757778169. The reversal of 79757778160 is 6187775797.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×79757778160² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79757778092 and 79757778101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79757778169) 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 15 ways as a sum of consecutive naturals, for example, 8276545 + ... + 8286175.

Almost surely, 2^79757778160 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 79757778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94303714176).

79757778160 is an abundant number, since it is smaller than the sum of its proper divisors (108849650192).

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

79757778160 is a wasteful number, since it uses less digits than its factorization.

79757778160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402 (or 11396 counting only the distinct ones).

The product of its (nonzero) digits is 36303120, while the sum is 64.

The spelling of 79757778160 in words is "seventy-nine billion, seven hundred fifty-seven million, seven hundred seventy-eight thousand, one hundred sixty".