788741760 has 256 divisors, whose sum is σ = 2680853760. Its totient is φ = 196804608.

The previous prime is 788741749. The next prime is 788741777. The reversal of 788741760 is 67147887.

It is a super-2 number, since 2×788741760² = 1244227127935795200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340312 + ... + 2340648.

It is an arithmetic number, because the mean of its divisors is an integer number (10472085).

Almost surely, 2^788741760 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 788741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340426880).

788741760 is an abundant number, since it is smaller than the sum of its proper divisors (1892112000).

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

788741760 is a wasteful number, since it uses less digits than its factorization.

788741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 788741760 is about 28084.5466404569. The cubic root of 788741760 is about 923.9425012477.

The spelling of 788741760 in words is "seven hundred eighty-eight million, seven hundred forty-one thousand, seven hundred sixty".