70329600 has 432 divisors, whose sum is σ = 288939840. Its totient is φ = 16588800.

The previous prime is 70329599. The next prime is 70329601. The reversal of 70329600 is 692307.

It is an interprime number because it is at equal distance from previous prime (70329599) and next prime (70329601).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70329601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900782 + ... + 1900818.

Almost surely, 2^70329600 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 70329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144469920).

70329600 is an abundant number, since it is smaller than the sum of its proper divisors (218610240).

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

70329600 is a wasteful number, since it uses less digits than its factorization.

70329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 70329600 is about 8386.2745006350. The cubic root of 70329600 is about 412.7743629292.

It can be divided in two parts, 703 and 29600, that added together give a palindrome (30303).

The spelling of 70329600 in words is "seventy million, three hundred twenty-nine thousand, six hundred".