778785840000 has 1920 divisors, whose sum is σ = 3410043436800. Its totient is φ = 173187072000.

The previous prime is 778785839989. The next prime is 778785840023. The reversal of 778785840000 is 48587877.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 8028719952 + ... + 8028720048.

It is an arithmetic number, because the mean of its divisors is an integer number (1776064290).

Almost surely, 2^778785840000 is an apocalyptic number.

778785840000 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 778785840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705021718400).

778785840000 is an abundant number, since it is smaller than the sum of its proper divisors (2631257596800).

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

778785840000 is an frugal number, since it uses more digits than its factorization.

778785840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 778785840000 in words is "seven hundred seventy-eight billion, seven hundred eighty-five million, eight hundred forty thousand".