70208800 has 144 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 25574400.

The previous prime is 70208791. The next prime is 70208813. The reversal of 70208800 is 880207.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471126 + ... + 471274.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 2^70208800 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 70208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

70208800 is an abundant number, since it is smaller than the sum of its proper divisors (117279200).

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

70208800 is a wasteful number, since it uses less digits than its factorization.

70208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 70208800 is about 8379.0691607123. The cubic root of 70208800 is about 412.5378967326.

The spelling of 70208800 in words is "seventy million, two hundred eight thousand, eight hundred".