80679715200 has 2304 divisors, whose sum is σ = 389305440000. Its totient is φ = 16164126720.

The previous prime is 80679715187. The next prime is 80679715201. The reversal of 80679715200 is 251797608.

It is a super-2 number, since 2×80679715200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80679715201) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1367452771 + ... + 1367452829.

It is an arithmetic number, because the mean of its divisors is an integer number (168969375).

Almost surely, 2^80679715200 is an apocalyptic number.

80679715200 is a gapful number since it is divisible by the number (80) 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 80679715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194652720000).

80679715200 is an abundant number, since it is smaller than the sum of its proper divisors (308625724800).

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

80679715200 is a wasteful number, since it uses less digits than its factorization.

80679715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 80679715200 in words is "eighty billion, six hundred seventy-nine million, seven hundred fifteen thousand, two hundred".