789380121600 has 1980 divisors, whose sum is σ = 3608093186676. Its totient is φ = 169444638720.

The previous prime is 789380121589. The next prime is 789380121613. The reversal of 789380121600 is 6121083987.

789380121600 is a `hidden beast` number, since 7 + 8 + 9 + 38 + 0 + 1 + 2 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 34399862784 + 754980258816 = 185472^2 + 868896^2 .

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

It is a congruent number.

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, 1727308572 + ... + 1727309028.

Almost surely, 2^789380121600 is an apocalyptic number.

789380121600 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 789380121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804046593338).

789380121600 is an abundant number, since it is smaller than the sum of its proper divisors (2818713065076).

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

789380121600 is a wasteful number, since it uses less digits than its factorization.

789380121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 789380121600 in words is "seven hundred eighty-nine billion, three hundred eighty million, one hundred twenty-one thousand, six hundred".