788552820 has 480 divisors, whose sum is σ = 3029685120. Its totient is φ = 169205760.

The previous prime is 788552813. The next prime is 788552873. The reversal of 788552820 is 28255887.

788552820 is a `hidden beast` number, since 78 + 8 + 552 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5755792 + ... + 5755928.

It is an arithmetic number, because the mean of its divisors is an integer number (6311844).

Almost surely, 2^788552820 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 788552820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514842560).

788552820 is an abundant number, since it is smaller than the sum of its proper divisors (2241132300).

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

788552820 is a wasteful number, since it uses less digits than its factorization.

788552820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 788552820 is about 28081.1826674020. The cubic root of 788552820 is about 923.8687197533.

The spelling of 788552820 in words is "seven hundred eighty-eight million, five hundred fifty-two thousand, eight hundred twenty".