789693690 has 128 divisors (see below), whose sum is σ = 2090188800. Its totient is φ = 190080000.

The previous prime is 789693683. The next prime is 789693733. The reversal of 789693690 is 96396987.

It is a super-3 number, since 3×789693690³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 789693690.

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, 3146065 + ... + 3146315.

It is an arithmetic number, because the mean of its divisors is an integer number (16329600).

Almost surely, 2^789693690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789693690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045094400).

789693690 is an abundant number, since it is smaller than the sum of its proper divisors (1300495110).

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

789693690 is a wasteful number, since it uses less digits than its factorization.

789693690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508.

The product of its (nonzero) digits is 4408992, while the sum is 57.

The square root of 789693690 is about 28101.4891064513. The cubic root of 789693690 is about 924.3140529322.

The spelling of 789693690 in words is "seven hundred eighty-nine million, six hundred ninety-three thousand, six hundred ninety".