79753546080 has 480 divisors, whose sum is σ = 304157700000. Its totient is φ = 19564167168.

The previous prime is 79753546049. The next prime is 79753546097. The reversal of 79753546080 is 8064535797.

79753546080 is a `hidden beast` number, since 7 + 9 + 75 + 35 + 460 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×79753546080² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63853296 + ... + 63854544.

It is an arithmetic number, because the mean of its divisors is an integer number (633661875).

Almost surely, 2^79753546080 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 79753546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152078850000).

79753546080 is an abundant number, since it is smaller than the sum of its proper divisors (224404153920).

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

79753546080 is a wasteful number, since it uses less digits than its factorization.

79753546080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 79753546080 in words is "seventy-nine billion, seven hundred fifty-three million, five hundred forty-six thousand, eighty".