79778400 has 144 divisors (see below), whose sum is σ = 279763344. Its totient is φ = 19630080.

The previous prime is 79778393. The next prime is 79778437. The reversal of 79778400 is 487797.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29922 + ... + 32478.

It is an arithmetic number, because the mean of its divisors is an integer number (1942801).

Almost surely, 2^79778400 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 79778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139881672).

79778400 is an abundant number, since it is smaller than the sum of its proper divisors (199984944).

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

79778400 is a wasteful number, since it uses less digits than its factorization.

79778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 79778400 is about 8931.8755029389. The cubic root of 79778400 is about 430.4887178170.

It can be divided in two parts, 797 and 78400, that added together give a palindrome (79197).

The spelling of 79778400 in words is "seventy-nine million, seven hundred seventy-eight thousand, four hundred".