79736227200 has 384 divisors, whose sum is σ = 333502464000. Its totient is φ = 18225285120.

The previous prime is 79736227187. The next prime is 79736227267. The reversal of 79736227200 is 272263797.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538881 + ... + 670719.

It is an arithmetic number, because the mean of its divisors is an integer number (868496000).

Almost surely, 2^79736227200 is an apocalyptic number.

79736227200 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 79736227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166751232000).

79736227200 is an abundant number, since it is smaller than the sum of its proper divisors (253766236800).

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

79736227200 is a wasteful number, since it uses less digits than its factorization.

79736227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131879 (or 131856 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

It can be divided in two parts, 79736 and 227200, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 79736227200 in words is "seventy-nine billion, seven hundred thirty-six million, two hundred twenty-seven thousand, two hundred".