2000772900 has 405 divisors, whose sum is σ = 7652366337. Its totient is φ = 450878400.

The previous prime is 2000772889. The next prime is 2000772919. The reversal of 2000772900 is 92770002.

The square root of 2000772900 is 44730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 720278244 + 1280494656 = 26838^2 + 35784^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28179865 + ... + 28179935.

Almost surely, 2^2000772900 is an apocalyptic number.

2000772900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2000772900 is the 44730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000772900

2000772900 is an abundant number, since it is smaller than the sum of its proper divisors (5651593437).

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

2000772900 is a wasteful number, since it uses less digits than its factorization.

2000772900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The cubic root of 2000772900 is about 1260.0833278225.

Multiplying 2000772900 by its product of nonzero digits (1764), we get a square (3529363395600 = 1878660²).

2000772900 divided by its product of nonzero digits (1764) gives a square (1134225 = 1065²).

The spelling of 2000772900 in words is "two billion, seven hundred seventy-two thousand, nine hundred".