788224788 has 108 divisors (see below), whose sum is σ = 2284724988. Its totient is φ = 228234240.

The previous prime is 788224769. The next prime is 788224793. The reversal of 788224788 is 887422887.

It can be written as a sum of positive squares in 6 ways, for example, as 412164 + 787812624 = 642^2 + 28068^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99618 + ... + 107238.

It is an arithmetic number, because the mean of its divisors is an integer number (21154861).

Almost surely, 2^788224788 is an apocalyptic number.

788224788 is a gapful number since it is divisible by the number (78) 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 788224788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142362494).

788224788 is an abundant number, since it is smaller than the sum of its proper divisors (1496500200).

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

788224788 is a wasteful number, since it uses less digits than its factorization.

788224788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674 (or 7656 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 788224788 is about 28075.3412802053. The cubic root of 788224788 is about 923.7405945222.

The spelling of 788224788 in words is "seven hundred eighty-eight million, two hundred twenty-four thousand, seven hundred eighty-eight".