205772076 has 120 divisors (see below), whose sum is σ = 573005664. Its totient is φ = 64247040.

The previous prime is 205772051. The next prime is 205772113. The reversal of 205772076 is 670277502.

It is a super-2 number, since 2×205772076² = 84684294522699552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 205772076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 394696 + ... + 395216.

Almost surely, 2^205772076 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 205772076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286502832).

205772076 is an abundant number, since it is smaller than the sum of its proper divisors (367233588).

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

205772076 is a wasteful number, since it uses less digits than its factorization.

205772076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 205772076 is about 14344.7577881259. The cubic root of 205772076 is about 590.3761615400.

The spelling of 205772076 in words is "two hundred five million, seven hundred seventy-two thousand, seventy-six".