70448800 has 72 divisors (see below), whose sum is σ = 173801376. Its totient is φ = 27882240.

The previous prime is 70448779. The next prime is 70448821. The reversal of 70448800 is 884407.

It is an interprime number because it is at equal distance from previous prime (70448779) and next prime (70448821).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85189 + ... + 86011.

It is an arithmetic number, because the mean of its divisors is an integer number (2413908).

Almost surely, 2^70448800 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 70448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86900688).

70448800 is an abundant number, since it is smaller than the sum of its proper divisors (103352576).

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

70448800 is a wasteful number, since it uses less digits than its factorization.

70448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 70448800 is about 8393.3783424793. The cubic root of 70448800 is about 413.0074318537.

The spelling of 70448800 in words is "seventy million, four hundred forty-eight thousand, eight hundred".