79840051200 has 1728 divisors, whose sum is σ = 379361930220. Its totient is φ = 15854469120.

The previous prime is 79840051153. The next prime is 79840051201. The reversal of 79840051200 is 215004897.

It can be written as a sum of positive squares in 6 ways, for example, as 25151422464 + 54688628736 = 158592^2 + 233856^2 .

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79840051201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4696473592 + ... + 4696473608.

Almost surely, 2^79840051200 is an apocalyptic number.

79840051200 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 79840051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189680965110).

79840051200 is an abundant number, since it is smaller than the sum of its proper divisors (299521879020).

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

79840051200 is a wasteful number, since it uses less digits than its factorization.

79840051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 79840051200 in words is "seventy-nine billion, eight hundred forty million, fifty-one thousand, two hundred".