70930800 has 360 divisors, whose sum is σ = 278843760. Its totient is φ = 16588800.

The previous prime is 70930793. The next prime is 70930841. The reversal of 70930800 is 803907.

It is a happy number.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1162770 + ... + 1162830.

It is an arithmetic number, because the mean of its divisors is an integer number (774566).

Almost surely, 2^70930800 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 70930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139421880).

70930800 is an abundant number, since it is smaller than the sum of its proper divisors (207912960).

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

70930800 is a wasteful number, since it uses less digits than its factorization.

70930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 70930800 is about 8422.0425076106. The cubic root of 70930800 is about 413.9472032371.

The spelling of 70930800 in words is "seventy million, nine hundred thirty thousand, eight hundred".