70800 has 60 divisors (see below), whose sum is σ = 230640. Its totient is φ = 18560.

The previous prime is 70793. The next prime is 70823. The reversal of 70800 is 807.

It is a tau number, because it is divible by the number of its divisors (60).

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 70800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (3844).

2⁷⁰⁸⁰⁰ 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 70800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115320).

70800 is an abundant number, since it is smaller than the sum of its proper divisors (159840).

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

70800 is a wasteful number, since it uses less digits than its factorization.

70800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 70800 is about 266.0826939130. The cubic root of 70800 is about 41.3692600112.

The spelling of 70800 in words is "seventy thousand, eight hundred".