70348800 has 156 divisors (see below), whose sum is σ = 233607320. Its totient is φ = 18677760.

The previous prime is 70348793. The next prime is 70348819. The reversal of 70348800 is 884307.

It is a super-2 number, since 2×70348800² = 9897907322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 307086 + ... + 307314.

Almost surely, 2^70348800 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 70348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116803660).

70348800 is an abundant number, since it is smaller than the sum of its proper divisors (163258520).

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

70348800 is a wasteful number, since it uses less digits than its factorization.

70348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 70348800 is about 8387.4191501319. The cubic root of 70348800 is about 412.8119220161.

The spelling of 70348800 in words is "seventy million, three hundred forty-eight thousand, eight hundred".