70855200 has 216 divisors, whose sum is σ = 269428068. Its totient is φ = 17418240.

The previous prime is 70855171. The next prime is 70855217. The reversal of 70855200 is 255807.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16744464 + 54110736 = 4092^2 + 7356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93222 + ... + 93978.

Almost surely, 2^70855200 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 70855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134714034).

70855200 is an abundant number, since it is smaller than the sum of its proper divisors (198572868).

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

70855200 is a wasteful number, since it uses less digits than its factorization.

70855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 70855200 is about 8417.5530886357. The cubic root of 70855200 is about 413.8000855144.

The spelling of 70855200 in words is "seventy million, eight hundred fifty-five thousand, two hundred".