789947664100 has 81 divisors (see below), whose sum is σ = 1994210665083. Its totient is φ = 270817868160.

The previous prime is 789947664097. The next prime is 789947664113. The reversal of 789947664100 is 1466749987.

The square root of 789947664100 is 888790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 154840676004 + 635106988096 = 393498^2 + 796936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62208952 + ... + 62221648.

Almost surely, 2^789947664100 is an apocalyptic number.

789947664100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

789947664100 is the 888790-th square number.

It is an amenable number.

789947664100 is an abundant number, since it is smaller than the sum of its proper divisors (1204263000983).

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

789947664100 is an equidigital number, since it uses as much as digits as its factorization.

789947664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25422 (or 12711 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 61.

The spelling of 789947664100 in words is "seven hundred eighty-nine billion, nine hundred forty-seven million, six hundred sixty-four thousand, one hundred".