788468722272 has 864 divisors, whose sum is σ = 2933980987392. Its totient is φ = 196390656000.

The previous prime is 788468722271. The next prime is 788468722277. The reversal of 788468722272 is 272227864887.

788468722272 is a `hidden beast` number, since 7 + 88 + 468 + 7 + 2 + 22 + 72 = 666.

788468722272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×788468722272³ (a number of 37 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (67436544) is a multiple of the sum of its prime factors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788468722271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 960375622 + ... + 960376442.

It is an arithmetic number, because the mean of its divisors is an integer number (3395811328).

Almost surely, 2^788468722272 is an apocalyptic number.

788468722272 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 788468722272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466990493696).

788468722272 is an abundant number, since it is smaller than the sum of its proper divisors (2145512265120).

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

788468722272 is a wasteful number, since it uses less digits than its factorization.

788468722272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1002 counting only the distinct ones).

The product of its digits is 67436544, while the sum is 63.

The spelling of 788468722272 in words is "seven hundred eighty-eight billion, four hundred sixty-eight million, seven hundred twenty-two thousand, two hundred seventy-two".