788501428070400 has 1152 divisors, whose sum is σ = 3325902128640000. Its totient is φ = 181091170713600.

The previous prime is 788501428070357. The next prime is 788501428070513. The reversal of 788501428070400 is 4070824105887.

788501428070400 is a `hidden beast` number, since 7 + 8 + 8 + 50 + 1 + 42 + 80 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287557041 + ... + 290286159.

It is an arithmetic number, because the mean of its divisors is an integer number (2887067820000).

Almost surely, 2^{788501428070400} 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 788501428070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662951064320000).

788501428070400 is an abundant number, since it is smaller than the sum of its proper divisors (2537400700569600).

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

788501428070400 is a wasteful number, since it uses less digits than its factorization.

788501428070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729190 (or 2729159 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 788501428070400 in words is "seven hundred eighty-eight trillion, five hundred one billion, four hundred twenty-eight million, seventy thousand, four hundred".