79023067200 has 2016 divisors, whose sum is σ = 383636398080. Its totient is φ = 15054336000.

The previous prime is 79023067177. The next prime is 79023067217. The reversal of 79023067200 is 276032097.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2549131185 + ... + 2549131215.

Almost surely, 2^79023067200 is an apocalyptic number.

79023067200 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 79023067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191818199040).

79023067200 is an abundant number, since it is smaller than the sum of its proper divisors (304613330880).

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

79023067200 is a wasteful number, since it uses less digits than its factorization.

79023067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 79023067200 its reverse (276032097), we get a palindrome (79299099297).

The spelling of 79023067200 in words is "seventy-nine billion, twenty-three million, sixty-seven thousand, two hundred".