788540786880 has 672 divisors, whose sum is σ = 3183238248192. Its totient is φ = 163537920000.

The previous prime is 788540786821. The next prime is 788540786899. The reversal of 788540786880 is 88687045887.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350305755 + ... + 350308005.

Almost surely, 2^788540786880 is an apocalyptic number.

788540786880 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 788540786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591619124096).

788540786880 is an abundant number, since it is smaller than the sum of its proper divisors (2394697461312).

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

788540786880 is a wasteful number, since it uses less digits than its factorization.

788540786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 69.

The spelling of 788540786880 in words is "seven hundred eighty-eight billion, five hundred forty million, seven hundred eighty-six thousand, eight hundred eighty".