788955552 has 480 divisors, whose sum is σ = 2985776640. Its totient is φ = 198443520.

The previous prime is 788955539. The next prime is 788955569. The reversal of 788955552 is 255559887.

It is a happy number.

788955552 is a `hidden beast` number, since 7 + 8 + 89 + 5 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11775423 + ... + 11775489.

It is an arithmetic number, because the mean of its divisors is an integer number (6220368).

Almost surely, 2^788955552 is an apocalyptic number.

788955552 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 788955552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492888320).

788955552 is an abundant number, since it is smaller than the sum of its proper divisors (2196821088).

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

788955552 is a wasteful number, since it uses less digits than its factorization.

788955552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 5040000, while the sum is 54.

The square root of 788955552 is about 28088.3526038819. The cubic root of 788955552 is about 924.0259732959.

The spelling of 788955552 in words is "seven hundred eighty-eight million, nine hundred fifty-five thousand, five hundred fifty-two".