788396760 has 256 divisors, whose sum is σ = 2905113600. Its totient is φ = 189167616.

The previous prime is 788396731. The next prime is 788396771. The reversal of 788396760 is 67693887.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 788396697 and 788396706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421347 + ... + 423213.

It is an arithmetic number, because the mean of its divisors is an integer number (11348100).

Almost surely, 2^788396760 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 788396760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452556800).

788396760 is an abundant number, since it is smaller than the sum of its proper divisors (2116716840).

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

788396760 is a wasteful number, since it uses less digits than its factorization.

788396760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 788396760 is about 28078.4038007861. The cubic root of 788396760 is about 923.8077690847.

The spelling of 788396760 in words is "seven hundred eighty-eight million, three hundred ninety-six thousand, seven hundred sixty".