778828213800 has 768 divisors, whose sum is σ = 3357785088000. Its totient is φ = 161533025280.

The previous prime is 778828213747. The next prime is 778828213861. The reversal of 778828213800 is 8312828877.

It is a super-2 number, since 2×778828213800² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28979169 + ... + 29006031.

It is an arithmetic number, because the mean of its divisors is an integer number (4372116000).

Almost surely, 2^778828213800 is an apocalyptic number.

778828213800 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 778828213800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678892544000).

778828213800 is an abundant number, since it is smaller than the sum of its proper divisors (2578956874200).

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

778828213800 is a wasteful number, since it uses less digits than its factorization.

778828213800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26967 (or 26952 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 778828213800 in words is "seven hundred seventy-eight billion, eight hundred twenty-eight million, two hundred thirteen thousand, eight hundred".