790124400 has 180 divisors, whose sum is σ = 2953045368. Its totient is φ = 194480640.

The previous prime is 790124383. The next prime is 790124507. The reversal of 790124400 is 4421097.

It is a happy number.

790124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

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, 38359 + ... + 55241.

Almost surely, 2^790124400 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 790124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476522684).

790124400 is an abundant number, since it is smaller than the sum of its proper divisors (2162920968).

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

790124400 is a wasteful number, since it uses less digits than its factorization.

790124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920 (or 16906 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 790124400 is about 28109.1515346871. The cubic root of 790124400 is about 924.4820670007.

Adding to 790124400 its reverse (4421097), we get a palindrome (794545497).

The spelling of 790124400 in words is "seven hundred ninety million, one hundred twenty-four thousand, four hundred".