79772353600 has 189 divisors, whose sum is σ = 205865812677. Its totient is φ = 30422177280.

The previous prime is 79772353597. The next prime is 79772353631. The reversal of 79772353600 is 635327797.

The square root of 79772353600 is 282440.

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

It can be written as a sum of positive squares in only one way, i.e., 28718047296 + 51054306304 = 169464^2 + 225952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 259844647 + ... + 259844953.

Almost surely, 2^79772353600 is an apocalyptic number.

79772353600 is the 282440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79772353600

79772353600 is an abundant number, since it is smaller than the sum of its proper divisors (126093459077).

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

79772353600 is an equidigital number, since it uses as much as digits as its factorization.

79772353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 49.

Multiplying 79772353600 by its sum of digits (49), we get a square (3908845326400 = 1977080²).

The spelling of 79772353600 in words is "seventy-nine billion, seven hundred seventy-two million, three hundred fifty-three thousand, six hundred".