779123945040 has 320 divisors, whose sum is σ = 2846746129920. Its totient is φ = 172550062080.

The previous prime is 779123945027. The next prime is 779123945069. The reversal of 779123945040 is 40549321977.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14954556 + ... + 15006564.

It is an arithmetic number, because the mean of its divisors is an integer number (8896081656).

Almost surely, 2^779123945040 is an apocalyptic number.

779123945040 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 779123945040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423373064960).

779123945040 is an abundant number, since it is smaller than the sum of its proper divisors (2067622184880).

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

779123945040 is a wasteful number, since it uses less digits than its factorization.

779123945040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52310 (or 52304 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 779123945040 in words is "seven hundred seventy-nine billion, one hundred twenty-three million, nine hundred forty-five thousand, forty".