79285761360 has 400 divisors, whose sum is σ = 300639289104. Its totient is φ = 19247652864.

The previous prime is 79285761353. The next prime is 79285761361. The reversal of 79285761360 is 6316758297.

79285761360 is a `hidden beast` number, since 7 + 9 + 2 + 8 + 576 + 1 + 3 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2565625104 + 76720136256 = 50652^2 + 276984^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 79285761297 and 79285761306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79285761361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6143074 + ... + 6155966.

Almost surely, 2^79285761360 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 79285761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150319644552).

79285761360 is an abundant number, since it is smaller than the sum of its proper divisors (221353527744).

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

79285761360 is a wasteful number, since it uses less digits than its factorization.

79285761360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13004 (or 12989 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 79285761360 in words is "seventy-nine billion, two hundred eighty-five million, seven hundred sixty-one thousand, three hundred sixty".