790889600 has 96 divisors (see below), whose sum is σ = 1976408100. Its totient is φ = 312688640.

The previous prime is 790889591. The next prime is 790889621. The reversal of 790889600 is 6988097.

It can be written as a sum of positive squares in 6 ways, for example, as 63616576 + 727273024 = 7976^2 + 26968^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283412 + ... + 286188.

Almost surely, 2^790889600 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 790889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988204050).

790889600 is an abundant number, since it is smaller than the sum of its proper divisors (1185518500).

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

790889600 is a wasteful number, since it uses less digits than its factorization.

790889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 790889600 is about 28122.7594663113. The cubic root of 790889600 is about 924.7804104997.

It can be divided in two parts, 79088 and 9600, that added together give a palindrome (88688).

The spelling of 790889600 in words is "seven hundred ninety million, eight hundred eighty-nine thousand, six hundred".