79882730400 has 288 divisors, whose sum is σ = 285477853248. Its totient is φ = 19241164800.

The previous prime is 79882730399. The next prime is 79882730407. The reversal of 79882730400 is 403728897.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 79882730400.

It is not an unprimeable number, because it can be changed into a prime (79882730407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4135164 + ... + 4154436.

It is an arithmetic number, because the mean of its divisors is an integer number (991242546).

Almost surely, 2^79882730400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79882730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142738926624).

79882730400 is an abundant number, since it is smaller than the sum of its proper divisors (205595122848).

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

79882730400 is a wasteful number, since it uses less digits than its factorization.

79882730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19464 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 79882730400 in words is "seventy-nine billion, eight hundred eighty-two million, seven hundred thirty thousand, four hundred".