789048100 has 45 divisors (see below), whose sum is σ = 1745161957. Its totient is φ = 309664160.

The previous prime is 789048011. The next prime is 789048103. The reversal of 789048100 is 1840987.

The square root of 789048100 is 28090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 161645796 + 627402304 = 12714^2 + 25048^2 .

It is a super-2 number, since 2×789048100² = 1245193808227220000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 789048100.

It is not an unprimeable number, because it can be changed into a prime (789048103) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14887674 + ... + 14887726.

Almost surely, 2^789048100 is an apocalyptic number.

789048100 is the 28090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789048100

789048100 is an abundant number, since it is smaller than the sum of its proper divisors (956113857).

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

789048100 is an frugal number, since it uses more digits than its factorization.

789048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The cubic root of 789048100 is about 924.0621026705.

The spelling of 789048100 in words is "seven hundred eighty-nine million, forty-eight thousand, one hundred".