79121318400 has 900 divisors, whose sum is σ = 314756155098. Its totient is φ = 19561512960.

The previous prime is 79121318369. The next prime is 79121318413. The reversal of 79121318400 is 481312197.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 67858166016 + 11263152384 = 260496^2 + 106128^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1180915167 + ... + 1180915233.

Almost surely, 2^79121318400 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 79121318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157378077549).

79121318400 is an abundant number, since it is smaller than the sum of its proper divisors (235634836698).

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

79121318400 is an equidigital number, since it uses as much as digits as its factorization.

79121318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 79121318400 in words is "seventy-nine billion, one hundred twenty-one million, three hundred eighteen thousand, four hundred".