788885028864 has 315 divisors, whose sum is σ = 2374740845617. Its totient is φ = 261938479104.

The previous prime is 788885028847. The next prime is 788885028871. The reversal of 788885028864 is 468820588887.

The square root of 788885028864 is 888192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 776654438400 + 12230590464 = 881280^2 + 110592^2 .

It is a super-2 number, since 2×788885028864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 788885028792 and 788885028801.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3069591424 + ... + 3069591680.

Almost surely, 2^788885028864 is an apocalyptic number.

788885028864 is the 888192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788885028864

788885028864 is an abundant number, since it is smaller than the sum of its proper divisors (1585855816753).

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

788885028864 is an frugal number, since it uses more digits than its factorization.

788885028864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 440401920, while the sum is 72.

The spelling of 788885028864 in words is "seven hundred eighty-eight billion, eight hundred eighty-five million, twenty-eight thousand, eight hundred sixty-four".