788394996480 has 1152 divisors, whose sum is σ = 3220082933760. Its totient is φ = 159969116160.

The previous prime is 788394996457. The next prime is 788394996517. The reversal of 788394996480 is 84699493887.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1066839951 + ... + 1066840689.

It is an arithmetic number, because the mean of its divisors is an integer number (2795210880).

Almost surely, 2^788394996480 is an apocalyptic number.

788394996480 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 788394996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610041466880).

788394996480 is an abundant number, since it is smaller than the sum of its proper divisors (2431687937280).

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

788394996480 is a wasteful number, since it uses less digits than its factorization.

788394996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 75.

The spelling of 788394996480 in words is "seven hundred eighty-eight billion, three hundred ninety-four million, nine hundred ninety-six thousand, four hundred eighty".