70310400 has 120 divisors (see below), whose sum is σ = 232392864. Its totient is φ = 18739200.

The previous prime is 70310399. The next prime is 70310407. The reversal of 70310400 is 401307.

It is a tau number, because it is divible by the number of its divisors (120).

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 70310400.

It is not an unprimeable number, because it can be changed into a prime (70310407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37485 + ... + 39315.

Almost surely, 2^70310400 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 70310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116196432).

70310400 is an abundant number, since it is smaller than the sum of its proper divisors (162082464).

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

70310400 is a wasteful number, since it uses less digits than its factorization.

70310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 70310400 is about 8385.1296948825. The cubic root of 70310400 is about 412.7367970059.

Adding to 70310400 its reverse (401307), we get a palindrome (70711707).

The spelling of 70310400 in words is "seventy million, three hundred ten thousand, four hundred".