780495754080 has 768 divisors, whose sum is σ = 2965281177600. Its totient is φ = 168840142848.

The previous prime is 780495754067. The next prime is 780495754091. The reversal of 780495754080 is 80457594087.

It is a self number, because there is not a number n which added to its sum of digits gives 780495754080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1302997621 + ... + 1302998219.

It is an arithmetic number, because the mean of its divisors is an integer number (3861043200).

Almost surely, 2^780495754080 is an apocalyptic number.

780495754080 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 780495754080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482640588800).

780495754080 is an abundant number, since it is smaller than the sum of its proper divisors (2184785423520).

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

780495754080 is a wasteful number, since it uses less digits than its factorization.

780495754080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 780495754080 in words is "seven hundred eighty billion, four hundred ninety-five million, seven hundred fifty-four thousand, eighty".