201070800 has 360 divisors, whose sum is σ = 815543040. Its totient is φ = 44928000.

The previous prime is 201070789. The next prime is 201070811. The reversal of 201070800 is 8070102.

201070800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201070789) and next prime (201070811).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×201070800² = 80858933225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1990750 + ... + 1990850.

Almost surely, 2^201070800 is an apocalyptic number.

201070800 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 201070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407771520).

201070800 is an abundant number, since it is smaller than the sum of its proper divisors (614472240).

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

201070800 is a wasteful number, since it uses less digits than its factorization.

201070800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 201070800 is about 14179.9435823983. The cubic root of 201070800 is about 585.8453699413.

The spelling of 201070800 in words is "two hundred one million, seventy thousand, eight hundred".