79189801600 has 576 divisors, whose sum is σ = 250031418840. Its totient is φ = 24555847680.

The previous prime is 79189801583. The next prime is 79189801627. The reversal of 79189801600 is 610898197.

It can be written as a sum of positive squares in 12 ways, for example, as 17451466816 + 61738334784 = 132104^2 + 248472^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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 71 ways as a sum of consecutive naturals, for example, 108034834 + ... + 108035566.

Almost surely, 2^79189801600 is an apocalyptic number.

79189801600 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 79189801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125015709420).

79189801600 is an abundant number, since it is smaller than the sum of its proper divisors (170841617240).

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

79189801600 is a wasteful number, since it uses less digits than its factorization.

79189801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 49.

The spelling of 79189801600 in words is "seventy-nine billion, one hundred eighty-nine million, eight hundred one thousand, six hundred".