780688128 has 216 divisors, whose sum is σ = 2366199808. Its totient is φ = 228096000.

The previous prime is 780688121. The next prime is 780688133. The reversal of 780688128 is 821886087.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780688121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2880633 + ... + 2880903.

Almost surely, 2^780688128 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 780688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183099904).

780688128 is an abundant number, since it is smaller than the sum of its proper divisors (1585511680).

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

780688128 is a wasteful number, since it uses less digits than its factorization.

780688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 780688128 is about 27940.7968390309. The cubic root of 780688128 is about 920.7870265983.

The spelling of 780688128 in words is "seven hundred eighty million, six hundred eighty-eight thousand, one hundred twenty-eight".