788452738920 has 1152 divisors, whose sum is σ = 3418596679680. Its totient is φ = 152941824000.

The previous prime is 788452738919. The next prime is 788452738967. The reversal of 788452738920 is 29837254887.

788452738920 is a `hidden beast` number, since 7 + 8 + 8 + 4 + 527 + 3 + 89 + 20 = 666.

788452738920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 722687575 + ... + 722688665.

It is an arithmetic number, because the mean of its divisors is an integer number (2967531840).

Almost surely, 2^788452738920 is an apocalyptic number.

788452738920 is a gapful number since it is divisible by the number (70) 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 788452738920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709298339840).

788452738920 is an abundant number, since it is smaller than the sum of its proper divisors (2630143940760).

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

788452738920 is a wasteful number, since it uses less digits than its factorization.

788452738920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 788452738920 in words is "seven hundred eighty-eight billion, four hundred fifty-two million, seven hundred thirty-eight thousand, nine hundred twenty".