200772660 has 96 divisors (see below), whose sum is σ = 619218432. Its totient is φ = 48200320.

The previous prime is 200772653. The next prime is 200772661. The reversal of 200772660 is 66277002.

It is a super-2 number, since 2×200772660² = 80619322006951200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200772661) 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, 69199 + ... + 72041.

It is an arithmetic number, because the mean of its divisors is an integer number (6450192).

Almost surely, 2^200772660 is an apocalyptic number.

200772660 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 200772660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309609216).

200772660 is an abundant number, since it is smaller than the sum of its proper divisors (418445772).

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

200772660 is a wasteful number, since it uses less digits than its factorization.

200772660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 200772660 is about 14169.4269467752. The cubic root of 200772660 is about 585.5556704290. Note that the first 3 decimals are identical.

The spelling of 200772660 in words is "two hundred million, seven hundred seventy-two thousand, six hundred sixty".