79854400 has 84 divisors (see below), whose sum is σ = 203385420. Its totient is φ = 30822400.

The previous prime is 79854353. The next prime is 79854433. The reversal of 79854400 is 445897.

It can be written as a sum of positive squares in 6 ways, for example, as 2304 + 79852096 = 48^2 + 8936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 79854400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 45540 + ... + 47260.

It is an arithmetic number, because the mean of its divisors is an integer number (2421255).

Almost surely, 2^79854400 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 79854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101692710).

79854400 is an abundant number, since it is smaller than the sum of its proper divisors (123531020).

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

79854400 is a wasteful number, since it uses less digits than its factorization.

79854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 79854400 is about 8936.1289158114. The cubic root of 79854400 is about 430.6253745179.

The spelling of 79854400 in words is "seventy-nine million, eight hundred fifty-four thousand, four hundred".