70005300 has 72 divisors (see below), whose sum is σ = 203632800. Its totient is φ = 18568320.

The previous prime is 70005293. The next prime is 70005301. The reversal of 70005300 is 350007.

70005300 = 442² + 443² + ... + 666².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 70005300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70005301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68191 + ... + 69209.

Almost surely, 2^70005300 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 70005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101816400).

70005300 is an abundant number, since it is smaller than the sum of its proper divisors (133627500).

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

70005300 is a wasteful number, since it uses less digits than its factorization.

70005300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 70005300 is about 8366.9169949271. The cubic root of 70005300 is about 412.1389310574.

Adding to 70005300 its reverse (350007), we get a palindrome (70355307).

The spelling of 70005300 in words is "seventy million, five thousand, three hundred".