79138400 has 216 divisors, whose sum is σ = 233281944. Its totient is φ = 25907200.

The previous prime is 79138391. The next prime is 79138441. The reversal of 79138400 is 483197.

It is a super-3 number, since 3×79138400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3440789 + ... + 3440811.

It is an arithmetic number, because the mean of its divisors is an integer number (1080009).

Almost surely, 2^79138400 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 79138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640972).

79138400 is an abundant number, since it is smaller than the sum of its proper divisors (154143544).

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

79138400 is a wasteful number, since it uses less digits than its factorization.

79138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 79138400 is about 8895.9766186743. The cubic root of 79138400 is about 429.3344671172.

The spelling of 79138400 in words is "seventy-nine million, one hundred thirty-eight thousand, four hundred".