790233531120 has 1440 divisors, whose sum is σ = 3362202305280. Its totient is φ = 170559406080.

The previous prime is 790233531089. The next prime is 790233531121. The reversal of 790233531120 is 21135332097.

It is a happy number.

790233531120 is a `hidden beast` number, since 7 + 9 + 0 + 2 + 335 + 311 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790233531121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1174195104 + ... + 1174195776.

It is an arithmetic number, because the mean of its divisors is an integer number (2334862712).

Almost surely, 2^790233531120 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 790233531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681101152640).

790233531120 is an abundant number, since it is smaller than the sum of its proper divisors (2571968774160).

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

790233531120 is a wasteful number, since it uses less digits than its factorization.

790233531120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 790233531120 in words is "seven hundred ninety billion, two hundred thirty-three million, five hundred thirty-one thousand, one hundred twenty".