79807779590400 has 243 divisors, whose sum is σ = 285338489858149. Its totient is φ = 21281502812160.

The previous prime is 79807779590393. The next prime is 79807779590477. The reversal of 79807779590400 is 409597770897.

The square root of 79807779590400 is 8933520.

It is a perfect power (a square), and thus also a powerful number.

79807779590400 is a `hidden beast` number, since 7 + 9 + 80 + 77 + 79 + 5 + 9 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28730800652544 + 51076978937856 = 5360112^2 + 7146816^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2144026189 + ... + 2144063411.

Almost surely, 2^{79807779590400} is an apocalyptic number.

79807779590400 is the 8933520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79807779590400

79807779590400 is an abundant number, since it is smaller than the sum of its proper divisors (205530710267749).

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

79807779590400 is an frugal number, since it uses more digits than its factorization.

79807779590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74478 (or 37233 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 72.

The spelling of 79807779590400 in words is "seventy-nine trillion, eight hundred seven billion, seven hundred seventy-nine million, five hundred ninety thousand, four hundred".