70129800 has 336 divisors, whose sum is σ = 270386340. Its totient is φ = 16796160.

The previous prime is 70129799. The next prime is 70129847. The reversal of 70129800 is 892107.

It can be written as a sum of positive squares in 6 ways, for example, as 27436644 + 42693156 = 5238^2 + 6534^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1895382 + ... + 1895418.

Almost surely, 2^70129800 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 70129800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135193170).

70129800 is an abundant number, since it is smaller than the sum of its proper divisors (200256540).

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

70129800 is a wasteful number, since it uses less digits than its factorization.

70129800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 70129800 is about 8374.3537064062. The cubic root of 70129800 is about 412.3831073744.

The spelling of 70129800 in words is "seventy million, one hundred twenty-nine thousand, eight hundred".