79030728000 has 1680 divisors, whose sum is σ = 360738480960. Its totient is φ = 16982784000.

The previous prime is 79030727989. The next prime is 79030728011. The reversal of 79030728000 is 82703097.

79030728000 is a `hidden beast` number, since 79 + 0 + 307 + 280 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79030727989) and next prime (79030728011).

It is a tau number, because it is divible by the number of its divisors (1680).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 603287935 + ... + 603288065.

Almost surely, 2^79030728000 is an apocalyptic number.

79030728000 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 79030728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180369240480).

79030728000 is an abundant number, since it is smaller than the sum of its proper divisors (281707752960).

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

79030728000 is a wasteful number, since it uses less digits than its factorization.

79030728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 79030728000 in words is "seventy-nine billion, thirty million, seven hundred twenty-eight thousand".