79424400 has 180 divisors, whose sum is σ = 280166096. Its totient is φ = 19219200.

The previous prime is 79424399. The next prime is 79424431. The reversal of 79424400 is 442497.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144927 + ... + 145473.

Almost surely, 2^79424400 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 79424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140083048).

79424400 is an abundant number, since it is smaller than the sum of its proper divisors (200741696).

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

79424400 is a wasteful number, since it uses less digits than its factorization.

79424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 79424400 is about 8912.0368042328. The cubic root of 79424400 is about 429.8510390825.

Adding to 79424400 its reverse (442497), we get a palindrome (79866897).

The spelling of 79424400 in words is "seventy-nine million, four hundred twenty-four thousand, four hundred".