79566400 has 63 divisors (see below), whose sum is σ = 196664961.
Its totient is φ = 31683840.
The previous prime is 79566359. The next prime is 79566427. The reversal of 79566400 is 466597.
The square root of 79566400 is 8920.
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., 28643904 + 50922496 = 5352^2 + 7136^2
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 79566400.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 356689 + ... + 356911.
Almost surely, 279566400 is an apocalyptic number.
79566400 is the 8920-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 79566400
79566400 is an abundant number, since it is smaller than the sum of its proper divisors (117098561).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
79566400 is an equidigital number, since it uses as much as digits as its factorization.
79566400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 468 (or 230 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 37.
The cubic root of 79566400 is about 430.1070582540.
The spelling of 79566400 in words is "seventy-nine million, five hundred sixty-six thousand, four hundred".