789608400 has 480 divisors, whose sum is σ = 3111610368. Its totient is φ = 167270400.

The previous prime is 789608399. The next prime is 789608419. The reversal of 789608400 is 4806987.

It is a happy number.

789608400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11785167 + ... + 11785233.

Almost surely, 2^789608400 is an apocalyptic number.

789608400 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 789608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555805184).

789608400 is an abundant number, since it is smaller than the sum of its proper divisors (2322001968).

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

789608400 is a wasteful number, since it uses less digits than its factorization.

789608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 789608400 is about 28099.9715302347. The cubic root of 789608400 is about 924.2807752260.

The spelling of 789608400 in words is "seven hundred eighty-nine million, six hundred eight thousand, four hundred".