788844672 has 192 divisors, whose sum is σ = 2830426560. Its totient is φ = 204871680.

The previous prime is 788844653. The next prime is 788844697. The reversal of 788844672 is 276448887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84258 + ... + 93150.

It is an arithmetic number, because the mean of its divisors is an integer number (14741805).

Almost surely, 2^788844672 is an apocalyptic number.

788844672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415213280).

788844672 is an abundant number, since it is smaller than the sum of its proper divisors (2041581888).

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

788844672 is a wasteful number, since it uses less digits than its factorization.

788844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931 (or 8916 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 788844672 is about 28086.3787626671. The cubic root of 788844672 is about 923.9826836582.

The spelling of 788844672 in words is "seven hundred eighty-eight million, eight hundred forty-four thousand, six hundred seventy-two".