790117286400 has 1800 divisors, whose sum is σ = 3307437693252. Its totient is φ = 185131008000.

The previous prime is 790117286381. The next prime is 790117286411. The reversal of 790117286400 is 4682711097.

It is a happy number.

790117286400 is a `hidden beast` number, since 7 + 90 + 11 + 72 + 86 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16758855936 + 773358430464 = 129456^2 + 879408^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12952742370 + ... + 12952742430.

Almost surely, 2^790117286400 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 790117286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653718846626).

790117286400 is an abundant number, since it is smaller than the sum of its proper divisors (2517320406852).

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

790117286400 is a wasteful number, since it uses less digits than its factorization.

790117286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

Adding to 790117286400 its reverse (4682711097), we get a palindrome (794799997497).

The spelling of 790117286400 in words is "seven hundred ninety billion, one hundred seventeen million, two hundred eighty-six thousand, four hundred".