79016510880 has 240 divisors, whose sum is σ = 280287037800. Its totient is φ = 20963432448.

The previous prime is 79016510843. The next prime is 79016510891. The reversal of 79016510880 is 8801561097.

It can be written as a sum of positive squares in 4 ways, for example, as 77299568784 + 1716942096 = 278028^2 + 41436^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2537646 + ... + 2568594.

Almost surely, 2^79016510880 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 79016510880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140143518900).

79016510880 is an abundant number, since it is smaller than the sum of its proper divisors (201270526920).

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

79016510880 is a wasteful number, since it uses less digits than its factorization.

79016510880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31173 (or 31156 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 79016510880 in words is "seventy-nine billion, sixteen million, five hundred ten thousand, eight hundred eighty".