789741120 has 448 divisors, whose sum is σ = 3146121216. Its totient is φ = 163676160.

The previous prime is 789741109. The next prime is 789741167. The reversal of 789741120 is 21147987.

789741120 = 455² + 456² + ... + 1350².

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3541329 + ... + 3541551.

It is an arithmetic number, because the mean of its divisors is an integer number (7022592).

Almost surely, 2^789741120 is an apocalyptic number.

789741120 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 789741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573060608).

789741120 is an abundant number, since it is smaller than the sum of its proper divisors (2356380096).

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

789741120 is a wasteful number, since it uses less digits than its factorization.

789741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 789741120 is about 28102.3329992369. The cubic root of 789741120 is about 924.3325577181.

The spelling of 789741120 in words is "seven hundred eighty-nine million, seven hundred forty-one thousand, one hundred twenty".