70300800 has 144 divisors (see below), whose sum is σ = 250952130. Its totient is φ = 18739200.

The previous prime is 70300787. The next prime is 70300807. The reversal of 70300800 is 800307.

70300800 = T₂₃₅₉ + T₂₃₆₀ + ... + T₂₃₈₃.

It can be written as a sum of positive squares in 3 ways, for example, as 36288576 + 34012224 = 6024^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (70300807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27580 + ... + 30020.

Almost surely, 2^70300800 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 70300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125476065).

70300800 is an abundant number, since it is smaller than the sum of its proper divisors (180651330).

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

70300800 is a wasteful number, since it uses less digits than its factorization.

70300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 70300800 is about 8384.5572333904. The cubic root of 70300800 is about 412.7180114796.

The spelling of 70300800 in words is "seventy million, three hundred thousand, eight hundred".