79734828600 has 360 divisors, whose sum is σ = 322147283040. Its totient is φ = 18224922240.

The previous prime is 79734828587. The next prime is 79734828643. The reversal of 79734828600 is 682843797.

79734828600 is a `hidden beast` number, since 7 + 9 + 7 + 3 + 4 + 8 + 28 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 743577 + ... + 844023.

It is an arithmetic number, because the mean of its divisors is an integer number (894853564).

Almost surely, 2^79734828600 is an apocalyptic number.

79734828600 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 79734828600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161073641520).

79734828600 is an abundant number, since it is smaller than the sum of its proper divisors (242412454440).

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

79734828600 is a wasteful number, since it uses less digits than its factorization.

79734828600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100489 (or 100464 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 79734828600 in words is "seventy-nine billion, seven hundred thirty-four million, eight hundred twenty-eight thousand, six hundred".