789213600 has 324 divisors, whose sum is σ = 3238773174. Its totient is φ = 180311040.

The previous prime is 789213599. The next prime is 789213617. The reversal of 789213600 is 6312987.

It can be written as a sum of positive squares in 3 ways, for example, as 682463376 + 106750224 = 26124^2 + 10332^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 351682 + ... + 353918.

Almost surely, 2^789213600 is an apocalyptic number.

789213600 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 789213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619386587).

789213600 is an abundant number, since it is smaller than the sum of its proper divisors (2449559574).

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

789213600 is a wasteful number, since it uses less digits than its factorization.

789213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 789213600 is about 28092.9457337603. The cubic root of 789213600 is about 924.1267043878.

The spelling of 789213600 in words is "seven hundred eighty-nine million, two hundred thirteen thousand, six hundred".