779190128640 has 2808 divisors, whose sum is σ = 3719797046784. Its totient is φ = 149874278400.

The previous prime is 779190128627. The next prime is 779190128657. The reversal of 779190128640 is 46821091977.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 25135165425 + ... + 25135165455.

It is an arithmetic number, because the mean of its divisors is an integer number (1324714048).

Almost surely, 2^779190128640 is an apocalyptic number.

779190128640 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 779190128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859898523392).

779190128640 is an abundant number, since it is smaller than the sum of its proper divisors (2940606918144).

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

779190128640 is a wasteful number, since it uses less digits than its factorization.

779190128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 779190128640 in words is "seven hundred seventy-nine billion, one hundred ninety million, one hundred twenty-eight thousand, six hundred forty".