200779040 has 192 divisors, whose sum is σ = 606735360. Its totient is φ = 60963840.

The previous prime is 200779037. The next prime is 200779049. The reversal of 200779040 is 40977002.

It is a junction number, because it is equal to n+sod(n) for n = 200778994 and 200779012.

It is not an unprimeable number, because it can be changed into a prime (200779049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529571 + ... + 529949.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2^200779040 is an apocalyptic number.

200779040 is a gapful number since it is divisible by the number (20) 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 200779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303367680).

200779040 is an abundant number, since it is smaller than the sum of its proper divisors (405956320).

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

200779040 is a wasteful number, since it uses less digits than its factorization.

200779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 200779040 is about 14169.6520775917. The cubic root of 200779040 is about 585.5618728101.

The spelling of 200779040 in words is "two hundred million, seven hundred seventy-nine thousand, forty".