790131412800 has 1008 divisors, whose sum is σ = 3105951331392. Its totient is φ = 196875878400.

The previous prime is 790131412771. The next prime is 790131412831. The reversal of 790131412800 is 8214131097.

It is a happy number.

790131412800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1143460455 + ... + 1143461145.

It is an arithmetic number, because the mean of its divisors is an integer number (3081300924).

Almost surely, 2^790131412800 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 790131412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552975665696).

790131412800 is an abundant number, since it is smaller than the sum of its proper divisors (2315819918592).

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

790131412800 is a wasteful number, since it uses less digits than its factorization.

790131412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 790131412800 its reverse (8214131097), we get a palindrome (798345543897).

The spelling of 790131412800 in words is "seven hundred ninety billion, one hundred thirty-one million, four hundred twelve thousand, eight hundred".