790144000 has 88 divisors (see below), whose sum is σ = 1971555768. Its totient is φ = 316006400.

The previous prime is 790143997. The next prime is 790144009. The reversal of 790144000 is 441097.

It can be written as a sum of positive squares in 4 ways, for example, as 223323136 + 566820864 = 14944^2 + 23808^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (790144009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124914 + ... + 131086.

Almost surely, 2^790144000 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 790144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985777884).

790144000 is an abundant number, since it is smaller than the sum of its proper divisors (1181411768).

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

790144000 is an equidigital number, since it uses as much as digits as its factorization.

790144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6208 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 790144000 is about 28109.5001734289. The cubic root of 790144000 is about 924.4897112395.

Adding to 790144000 its reverse (441097), we get a palindrome (790585097).

The spelling of 790144000 in words is "seven hundred ninety million, one hundred forty-four thousand".