789199488 has 576 divisors, whose sum is σ = 3047466240. Its totient is φ = 193536000.

The previous prime is 789199487. The next prime is 789199501. The reversal of 789199488 is 884991987.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (789199487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19248748 + ... + 19248788.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2^789199488 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 789199488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

789199488 is an abundant number, since it is smaller than the sum of its proper divisors (2258266752).

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

789199488 is a wasteful number, since it uses less digits than its factorization.

789199488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The square root of 789199488 is about 28092.6945663815. The cubic root of 789199488 is about 924.1211962238.

The spelling of 789199488 in words is "seven hundred eighty-nine million, one hundred ninety-nine thousand, four hundred eighty-eight".