789792 has 48 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 248832.

The previous prime is 789749. The next prime is 789793. The reversal of 789792 is 297987.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (789793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1608 + ... + 2040.

It is an arithmetic number, because the mean of its divisors is an integer number (45570).

2⁷⁸⁹⁷⁹² 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 789792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

789792 is an abundant number, since it is smaller than the sum of its proper divisors (1397568).

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

789792 is a wasteful number, since it uses less digits than its factorization.

789792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 789792 is about 888.7024248870. The cubic root of 789792 is about 92.4352407696.

It can be divided in two parts, 78 and 9792, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 789792 in words is "seven hundred eighty-nine thousand, seven hundred ninety-two".