79206400 has 288 divisors, whose sum is σ = 255921120. Its totient is φ = 23592960.

The previous prime is 79206371. The next prime is 79206401. The reversal of 79206400 is 460297.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79206401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4659192 + ... + 4659208.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^79206400 is an apocalyptic number.

79206400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

79206400 is an abundant number, since it is smaller than the sum of its proper divisors (176714720).

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

79206400 is a wasteful number, since it uses less digits than its factorization.

79206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 79206400 is about 8899.7977505110. The cubic root of 79206400 is about 429.4574010568.

Adding to 79206400 its reverse (460297), we get a palindrome (79666697).

The spelling of 79206400 in words is "seventy-nine million, two hundred six thousand, four hundred".