780198000 has 160 divisors (see below), whose sum is σ = 2663668800. Its totient is φ = 195788800.

The previous prime is 780197993. The next prime is 780198037. The reversal of 780198000 is 891087.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98176 + ... + 105824.

It is an arithmetic number, because the mean of its divisors is an integer number (16647930).

Almost surely, 2^780198000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331834400).

780198000 is an abundant number, since it is smaller than the sum of its proper divisors (1883470800).

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

780198000 is a wasteful number, since it uses less digits than its factorization.

780198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 780198000 is about 27932.0246312365. The cubic root of 780198000 is about 920.5942915118.

The spelling of 780198000 in words is "seven hundred eighty million, one hundred ninety-eight thousand".