79120491300900 has 675 divisors, whose sum is σ = 299354216568099. Its totient is φ = 18075717596160.

The previous prime is 79120491300841. The next prime is 79120491300937. The reversal of 79120491300900 is 900319402197.

The square root of 79120491300900 is 8894970.

It is a perfect power (a square), and thus also a powerful number.

79120491300900 is a `hidden beast` number, since 7 + 9 + 120 + 491 + 30 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4469647135716 + 74650844165184 = 2114154^2 + 8640072^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 39226816692 + ... + 39226818708.

Almost surely, 2^{79120491300900} is an apocalyptic number.

79120491300900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

79120491300900 is the 8894970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79120491300900

79120491300900 is an abundant number, since it is smaller than the sum of its proper divisors (220233725267199).

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

79120491300900 is an frugal number, since it uses more digits than its factorization.

79120491300900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 79120491300900 in words is "seventy-nine trillion, one hundred twenty billion, four hundred ninety-one million, three hundred thousand, nine hundred".