790322400 has 288 divisors, whose sum is σ = 3267290880. Its totient is φ = 180610560.

The previous prime is 790322381. The next prime is 790322417. The reversal of 790322400 is 4223097.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148587 + ... + 153813.

It is an arithmetic number, because the mean of its divisors is an integer number (11344760).

Almost surely, 2^790322400 is an apocalyptic number.

790322400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633645440).

790322400 is an abundant number, since it is smaller than the sum of its proper divisors (2476968480).

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

790322400 is a wasteful number, since it uses less digits than its factorization.

790322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 790322400 is about 28112.6732987100. The cubic root of 790322400 is about 924.5592836016.

Adding to 790322400 its reverse (4223097), we get a palindrome (794545497).

It can be divided in two parts, 7903 and 22400, that added together give a palindrome (30303).

The spelling of 790322400 in words is "seven hundred ninety million, three hundred twenty-two thousand, four hundred".