79933651200 has 1080 divisors, whose sum is σ = 330066244200. Its totient is φ = 18951045120.

The previous prime is 79933651199. The next prime is 79933651219. The reversal of 79933651200 is 215633997.

It can be written as a sum of positive squares in 12 ways, for example, as 16647192576 + 63286458624 = 129024^2 + 251568^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×79933651200² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 195436596 + ... + 195437004.

Almost surely, 2^79933651200 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 79933651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165033122100).

79933651200 is an abundant number, since it is smaller than the sum of its proper divisors (250132593000).

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

79933651200 is a wasteful number, since it uses less digits than its factorization.

79933651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 79933651200 in words is "seventy-nine billion, nine hundred thirty-three million, six hundred fifty-one thousand, two hundred".