70012800 has 576 divisors, whose sum is σ = 310761360. Its totient is φ = 14745600.

The previous prime is 70012799. The next prime is 70012801. The reversal of 70012800 is 821007.

It is an interprime number because it is at equal distance from previous prime (70012799) and next prime (70012801).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70012801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4118392 + ... + 4118408.

Almost surely, 2^70012800 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 70012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

70012800 is an abundant number, since it is smaller than the sum of its proper divisors (240748560).

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

70012800 is a wasteful number, since it uses less digits than its factorization.

70012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 70012800 is about 8367.3651766850. The cubic root of 70012800 is about 412.1536486650.

Adding to 70012800 its reverse (821007), we get a palindrome (70833807).

It can be divided in two parts, 7001 and 2800, that added together give a square (9801 = 99²).

The spelling of 70012800 in words is "seventy million, twelve thousand, eight hundred".