79277758560 has 2016 divisors, whose sum is σ = 387723544992. Its totient is φ = 15049359360.

The previous prime is 79277758531. The next prime is 79277758583. The reversal of 79277758560 is 6585777297.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×79277758560³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 817296432 + ... + 817296528.

It is an arithmetic number, because the mean of its divisors is an integer number (192323187).

Almost surely, 2^79277758560 is an apocalyptic number.

79277758560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79277758560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193861772496).

79277758560 is an abundant number, since it is smaller than the sum of its proper divisors (308445786432).

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

79277758560 is a wasteful number, since it uses less digits than its factorization.

79277758560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 63.

The spelling of 79277758560 in words is "seventy-nine billion, two hundred seventy-seven million, seven hundred fifty-eight thousand, five hundred sixty".