70080 has 56 divisors (see below), whose sum is σ = 225552. Its totient is φ = 18432.

The previous prime is 70079. The next prime is 70099. The reversal of 70080 is 8007.

70080 = T₁₁ + T₁₂ + ... + T₇₄.

It is a super-2 number, since 2×70080² = 9822412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 924 + ... + 996.

2⁷⁰⁰⁸⁰ 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 70080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112776).

70080 is an abundant number, since it is smaller than the sum of its proper divisors (155472).

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

70080 is a wasteful number, since it uses less digits than its factorization.

70080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

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

The square root of 70080 is about 264.7262737244. The cubic root of 70080 is about 41.2285471554.

Adding to 70080 its reverse (8007), we get a palindrome (78087).

It can be divided in two parts, 700 and 80, that added together give a triangular number (780 = T₃₉).

The spelling of 70080 in words is "seventy thousand, eighty".