79484227200 has 1152 divisors, whose sum is σ = 339884138880. Its totient is φ = 17309859840.

The previous prime is 79484227189. The next prime is 79484227213. The reversal of 79484227200 is 272248497.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 459446314 + ... + 459446486.

It is an arithmetic number, because the mean of its divisors is an integer number (295038315).

Almost surely, 2^79484227200 is an apocalyptic number.

79484227200 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 79484227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169942069440).

79484227200 is an abundant number, since it is smaller than the sum of its proper divisors (260399911680).

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

79484227200 is a wasteful number, since it uses less digits than its factorization.

79484227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 79484227200 in words is "seventy-nine billion, four hundred eighty-four million, two hundred twenty-seven thousand, two hundred".