79230412800 has 1944 divisors, whose sum is σ = 375324317550. Its totient is φ = 15895756800.

The previous prime is 79230412769. The next prime is 79230412801. The reversal of 79230412800 is 821403297.

79230412800 is a `hidden beast` number, since 7 + 9 + 230 + 412 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 59504772096 + 19725640704 = 243936^2 + 140448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (79230412801) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 2732083186 + ... + 2732083214.

Almost surely, 2^79230412800 is an apocalyptic number.

79230412800 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 79230412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187662158775).

79230412800 is an abundant number, since it is smaller than the sum of its proper divisors (296093904750).

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

79230412800 is a wasteful number, since it uses less digits than its factorization.

79230412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 79230412800 in words is "seventy-nine billion, two hundred thirty million, four hundred twelve thousand, eight hundred".